Answer:
60
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