Find the least common multiple of 7 and 12. (1 point)
48
168
84
252
The least common multiple (LCM) of 7 and 12 is 84.
To find the least common multiple (LCM) of 7 and 12, you can use the prime factorization method.
First, let's find the prime factorization of both numbers:
Prime factorization of 7: 7
Prime factorization of 12: 2 x 2 x 3
Next, we identify the highest power of each prime factor:
The highest power of 2 is 2^2 = 4
The highest power of 3 is 3^1 = 3
The highest power of 7 is 7^1 = 7
Finally, we multiply these highest powers together to find the LCM:
LCM = 2^2 x 3^1 x 7^1 = 4 x 3 x 7 = 84
Therefore, the least common multiple of 7 and 12 is 84.
To find the least common multiple (LCM) of two numbers, you need to determine the smallest multiple that both numbers share.
To find the LCM of 7 and 12, start by identifying the multiples of each number:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120...
Looking at the lists, you can see that the smallest common multiple (LCM) of 7 and 12 is 84. Therefore, the answer is option C: 84.