Find the least common denominator of the fractions: $\frac { 7 } { 8 }$ , $\frac { 1 } { 18 }$ , $\frac { 7 } { 12 }$ , $\frac { 11 } { 16 }$
A) 154
B) 18
C) 144
D) 27,648

Question

Quizplus · Accepted Answer

The least common denominator (LCD) is the least common multiple (LCM) of the denominators. The denominators are 8, 18, 12, and 16. The prime factorization of these numbers are 8 = $2^3$, 18 = $2 \times 3^2$, 12 = $2^2 \times 3$, and 16 = $2^4$. The LCM is $2^4 \times 3^2 = 16 \times 9 = 144$, which is the least number that all denominators divide into without a remainder.

Find the Least Common Denominator of the Fractions 78\frac { 7 } { 8 }87​

Find the Least Common Denominator of the Fractions $\frac { 7 } { 8 }$