Question

The LCM of 28, 60, 120 and 135 is

• A. 7626
• B. 7560
• C. 7608
• D. 7569

Answer 1

Answer:

B. 7560

Let’s find the LCM of 28, 60, 120, and 135.

$28 = 2^2 \times 7$

$60 = 2^2 \times 3 \times 5$

$120 = 2^3 \times 3 \times 5$

$135 = 3^3 \times 5$

Take the highest power of each prime

• $(2^3)$

• $(3^3)$

• $(5^1)$

• $(7^1)$

Multiply them

$LCM = 2^3 \times 3^3 \times 5 \times 7= 8 \times 27 \times 5 \times 7= 7560$

LCM = 7560