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Answered 2011-09-14 15:42:19
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.
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Related Questions
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 LCM of two numbers that have no common factor greater than 1?
If the HCF (Highest Common Factor) of two numbers is 1, then the two numbers are relatively prime and their LCM is the product of the two numbers.
Can two numbe215r have 20 as their HCF and 215 as their LCM?
No. If two numbers have an even factor in common, they are even numbers. Two even numbers will have an even LCM.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
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 .
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.
Can HCF and LCM of two numbers be 27 and 288?
No. The LCM MUST be a multiple of the HCF.
The LCM of two numbers is twice their HCF?
5 and 10 lcm- 10 and hcf= 5
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.
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.
What is the result if you multiply the greatest common factor by the least common multiple?
Multiplying the hcf by the lcm of two numbers gives the product of the two numbers
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
What is HCF and LCM of 70?
You need at least two numbers to find either of those.
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.
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 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.
What two numbers have a LCM of 20 and HCF of 2?
The answer is 4 and 10.
Two numbers have a LCM of 36 and a HCF of 6?
The answer is 6 and 36
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...
The LCM of two numbers are 36 and the HCF is 6 What are the two numbers?
6 and 36 12 and 18
What is h.c.f and l.c.m?
They are: h.c.f or HCF means the highest common factor of two or more whole numbers and l.c.m or LCM means the lowest common multiple of two or more whole numbers
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