Find the least common multiple of 8 and 10 (1 point)
120
60
40
80
The least common multiple of 8 and 10 is 40.
To find the least common multiple (LCM) of two numbers, we need to find the smallest number that is divisible by both numbers.
Let's start by listing the multiples of each number:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
From the lists, we can see that the smallest number divisible by both 8 and 10 is 40.
Therefore, the least common multiple (LCM) of 8 and 10 is 40.
So the answer is: 40
To find the least common multiple (LCM) of two numbers, you can follow a systematic approach.
Step 1: Determine the prime factors of each number.
The prime factors of 8 are 2 x 2 x 2.
The prime factors of 10 are 2 x 5.
Step 2: Identify the highest power of each prime factor.
In this case, the highest power of 2 is 2 x 2 x 2 = 8.
The highest power of 5 is 5.
Step 3: Multiply the highest powers of all the prime factors.
8 x 5 = 40
Therefore, the least common multiple of 8 and 10 is 40.