Find the LCM and the GCF of 100 and 110.
A) 110, 10
B) 1,100, 20
C) 1,100, 10
D) 11,000, 20

Question

Quizplus · Accepted Answer

To find the LCM and GCF, we can use prime factorization method.

Prime factorization of 100: 2^2 * 5^2 
Prime factorization of 110: 2 * 5 * 11

To find LCM, we take highest powers of all the factors: 
LCM = 2^2 * 5^2 * 11 = 1,100

To find GCF, we take the lowest powers of common factors: 
GCF = 2^1 * 5^1 = 10

Hence, the answer is C.