Find the least common denominator of the fractions: $$\frac { 1 } { 8 }$$ , $\frac { 17 } { 18 }$ , $\frac { 1 } { 16 }$ , $\frac { 9 } { 14 }$
A) 32,256
B) 1,008
C) 18
D) 288

Question

Quizplus · Accepted Answer

The least common denominator (LCD) is the least common multiple (LCM) of the denominators. The denominators are 8, 18, 16, and 14. The prime factorization of these numbers are: 8 = $2^3$, 18 = $2 \times 3^2$, 16 = $2^4$, and 14 = $2 \times 7$. The LCM is $2^4 \times 3^2 \times 7 = 16 \times 9 \times 7 = 144 \times 7 = 1008$.

Find the Least Common Denominator of the Fractions 18\frac { 1 } { 8 }81​

Find the Least Common Denominator of the Fractions $\frac { 1 } { 8 }$