Question

The LCM of 36, 63, 372 and 126 is:

• A. 7813
• B. 7860
• C. 7897
• D. 7812

Answer 1

Answer:

D. 7812

Find LCM using prime factorization:

• $(36 = 2^2 \times 3^2)$

• $(63 = 3^2 \times 7)$

• $(372 = 2^2 \times 3 \times 31)$

• $(126 = 2 \times 3^2 \times 7)$

Take highest powers:

• $(2^2) (from 36, 372)$

• $(3^2) (from 36, 63, 126)$

• $(7) (from 63, 126)$

• $(31) (from 372)$

LCM:

$= 2^2 \times 3^2 \times 7 \times 31$

$= 4 \times 9 \times 7 \times 31$

$= 36 \times 7 \times 31$

$= 252 \times 31 = 7812$