Question

What is the LCM of 6,4,10​

Answer 1

6 has a factor of 2 and 3

4 has a factor of  2

10 has a factor of 2 and 5

The LCM = 60

Answer 2

Answer:

60

Step-by-step explanation:

The LCM is the lowest common multiple, this means the smallest number that 6, 4 and 10 can go into without giving a decimal number, so they give an integer.

• Here's a trick, use prime factorization
• Prime factorization means, write a number as the result of the multiplication of prime numbers
• prime numbers are numbers with only two factors, 1 and itself
• So the prime factorization of 6, 4 and 10 is
• 6 = 2 x 3
• 4 = 2 x 2
• 10 = 2 x 5
• For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
• So 2 occurs most often as a factor of 4, so we use two 2s
• 3 occurs most often as a factor of 6, so we use one 3
• 5 occurs most often as a factor of 10, so we use one 5
• Then multiply this new list of numbers
• 2 x 2 x 3 x 5 = 60
• that's how you quickly get the LCM