Question

Find the LCM of 72, 80 and 120 using the fundamental theorem of arithmetic.

Answer 1

Hope it helps you dear friend

Answer 2

Answer:

LCM(72,80,120) = 720

Step-by-step explanation:

We have,

72 = 2×2×2×3×3 = 2³ × 3²

80 = 2×2×2×2×5 = 2⁴ × 5¹

120= 2×2×2×3×5 = 2³ × 3¹ × 5¹

LCM(72,80,120)=2⁴×3²×5¹

= 720

/* Product of the greatest power of each prime factors of the numbers. */

Therefore,

LCM(72,80,120) = 720

•••♪