What is the least common multiple of 15 25 and 45?

Answer 1

To find the least common multiple (LCM) of 15, 25, and 45, we first need to find the prime factorization of each number.

15 = 3 x 5 25 = 5 x 5 45 = 3 x 3 x 5

Next, we identify the highest power of each prime factor that appears in any of the factorizations. The LCM is then calculated by multiplying these prime factors together: 3 x 3 x 5 x 5 = 225.

Therefore, the least common multiple of 15, 25, and 45 is 225.

Answer 2

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 15, 40, and 195 is 1560.

Answer 3

The LC of 15, 25, and 45 is 225.

The prime factorization of 15 is 3 x 5

The prime factorization of 25 is 5^2

The prime factorization of 45 is 3^2 x 5

The lcm is 3^2 x 5^2 = 225

You can also find the LCM by listing the multiples of each number and finding the lowest one they have in common.

The multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, and so on.

The multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, 225, and so on.

The multiples of 45 are 45, 90, 135, 180, 225, and so on.

So the LCM is 225.

Answer 4

The LCM of 10, 15, and 40 is 120.

Answer 5

LCM(6, 15, 40) = 120.

Answer 6

600

Answer 7

280

Answer 8

120