###### Asked in Factoring and Multiples

Factoring and Multiples

# What is the least common multiple of 25 120 and 145?

## Answer

###### Wiki User

###### June 24, 2008 9:16AM

The LCM of 25, 120, and 145 is **17,400**, which is the
multiple of the highest power of prime factors from all numbers (25
= **52**; 120 = **23** x **3** x 5; 145 = 5 x **29**).
(23 x 3 x 52 x 19 = 2 x 2 x2 x 3 x 5 x 5 x 29 = 17400).

## Related Questions

###### Asked in Math and Arithmetic, Factoring and Multiples

### What is the least common multiple of 145 and 150?

The least common multiple (LCM) is often also called the lowest
common multiple or smallest common multiple. Keep in mind that
these different terms all refer to the same thing: the smallest
positive integer which is a multiple of two or more numbers.
The least common multiple of 145 and 150 is 4350.

###### Asked in Factoring and Multiples, Prime Numbers

### What are the factors and prime factors of 145?

145 is a composite number because it has factors other than 1
and itself. It is not a prime number.
The factors of 145 are 1, 5, 29, and 145.
The factor pairs of 145 are 1 x 145 and 5 x 29.
The proper factors of 145 are 1, 5, and 29 or,
if the definition you are using excludes 1, they are 5 and
29.
The prime factors of 145 are 5 and 29.
The distinct prime factors (listing each prime factor
only once) of 145 are 5 and 29.
The prime factorization of 145 is 5 x 29.
NOTE: There cannot be common factors, a greatest common factor,
or a least common multiple because "common" refers to factors or
multiples that two or more numbers have in common.

###### Asked in Math and Arithmetic, Factoring and Multiples

### What are all the multiples of 145?

It is not possible to give all the multiples of any number
(other than zero) since there is no end to them.
If x were the largest multiple of 145 then
x+145 is a multiple of 145 and it is larger than x.
So x is not the largest multiple of 145. So there are an
infinite number of multiples.
The first 15 multiples of 145:
145, 290, 435, 580, 725, 870, 1015, 1160, 1305, 1450, 1595,
1740, 1885, 2030, 2175 . . .