Question

What is the least common multiple of 70, 60, and 50?

Answer 1

Answer:

2100

Step-by-step explanation:

LCM of 70, 60, and 50?

First, find the prime factorization of each number.

70 = 2 * 5 * 7

60 = 2^2 * 3 * 5

50 = 2 * 5^2

The LCM is the product of some of the factors above. These are the factors you need to multiply together.

Choose factors that are common with the highest exponent and also factors that are not common.

Common factors: There is a 2, a 2^2, and a 2. Use the 2^2.

There is a 3. Use it.

There is a 5 and a 5^2. Use the 5^2.

There is a 7. Use it.

LCM = 2^2 * 3 * 5^2 * 7

LCM = 2100

Answer: 2100