Question

Find the LCM by prime factorization method of 144 180 384

Answer 1

Solutions :-

Q: Find the LCM by prime factorization method of 144, 180 and 384.

Prime Factors of 144, 180 and 384.
144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
180 = 2 × 2 × 3 × 3 × 5 = 2² × 3² × 5
384 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = $~2^7~$ × 3

LCM of 144, 180 and 384 = $~2^7~$× 3² × 5 = 5760


Answer : LCM of 144, 180 and 384 = 5760

Answer 2

Step-by-step explanation:

180 ,144 & 384

180 =2×2×3×3×5

144= 2×2×2×2×3×3

384 =2×2×2×2×2×2×2×3

2×2×2×2×2×2×2×3×3×5 =5760

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