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Answered 2011-09-17 09:16:22

hcf: 1

lcm: 112,038

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Can the HCF of two numbers be a factor of their LCM?

The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.


Can HCF and LCM of two numbers be 27 and 288?

No. The LCM MUST be a multiple of the HCF.


What numbers have a HCF of 3 and a LCM of 3?

Two or more numbers are needed to solve for HCF or LCM.



How do you find sets of two numbers if HCF and LCM are known?

You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.


If the HCF and LCM of two numbers are 17 and 102 respectively and the HCF and LCM of two other numbers are 68 and 476 respectively then find the sum of the HCF and LCM of these four numbers?

HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .


If the product oftwo numbers is 810 if there HCF IS 9 FIND LCM?

if the product of two numbers is 810 if there hcf is 9 find Lcm


Can two numbers have 16 as their HCF and 380 as their LCM?

LCM = product/HCF so product = LCM/HCF in this case 380/16 which is 23.75, so the answer to your question is no.


How would you explain the LCM of the two numbers is their product?

The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.


Does the HCF of any two no is always a factor of their LCM?

If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc. b is a factor of abc, and so the HCF will always be a factor of their LCM.


What do HCF and LCM stand for?

HCF means the highest common factor of two or more numbers. LCM means the lowest common multiple of two or more numbers.


What is the relation between HCF and LCM?

Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.


What is the Multiplication of HCF and LCM of two number?

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.


What are the four methods to find LCM and HCF?

hcf or gcf. first write the numbers the number can be multiplied to get it,you will have more than one or two numbers and when you see you have the number in a row then look for the highest number in all row .LCM do same as hcf but the numbers you got just multiply.try 2,4,16,24,48 you must get for LCM get 144 and for hcf or gcf you must get 24.


How do you know if a word problem is HCF or LCM?

The context of the question will determine which it is. Also, if you expect the answer to be bigger than the numbers then it is the LCM else the HCF.


Can two numbers have 20 as HCF and 535 as LCM?

HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.


If 13 is HCF of 2 number whose product is 1690 find the LCM?

To find the LCM, you multiply the numbers together and then divide by the HCF. In this case, we don't know the numbers, but we have the HCF (13) and we have the product of the numbers (1690). Thus all you do is divide 1690 by 13 to get: 1690/13 = 130 And thus the LCM of two numbers whose hcf is 13 and product is 1690 is 130.


What two numbers have a lcm of 30 and a HCF of 6?

Use GCF instead of HCF. 6 and 30 would be those numbers...


What 2 numbers have LCM of 20 and HCF of 2?

2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.


What is the relationship between HCF and LCM?

It's kind of an inverse relationship. The product of the GCF and LCM of two numbers is the same as the product of the original two numbers, so as the GCF increases, the LCM decreases and vice versa. LCM is divisable by HCF.


Why is the LCM of 12 and 13 the same as there product but the LCM of 12 and 14 is not the same as there product?

The LCM is the product of the two numbers divided by their HCF. With 12 and 13, the HCF is 1. Therefore, the LCM will equal the product. With 12 and 14, the HCF is 2. Therefore, the LCM will be half of the product.





What is the LCM of 64 and 610?

LCM of two numbers = their product divided by their HCF. The HCF of 64 and 610 is only 2 so the LCM is 64 x 610/2 ie 19520.


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