what are the LCM of 8 and 20
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64
Multiples of 20:
20, 40, 60, 80, 100
Which number is the same in both groups? That's the LCM.
40
Right.
To find the Least Common Multiple (LCM) of two numbers, you can follow these steps:
Step 1: Write down the prime factorization of both numbers.
The prime factorization of 8 is 2 x 2 x 2.
The prime factorization of 20 is 2 x 2 x 5.
Step 2: Identify the highest power of each prime factor that appears in either factorization.
In this case, the highest power of 2 is 2 x 2 x 2 = 8.
The highest power of 5 is simply 5.
Step 3: Multiply the highest powers of each prime factor together.
2 x 2 x 2 x 5 = 40
Therefore, the LCM of 8 and 20 is 40.