Question

LCM of864,1296,648,432LCM of 864 1296 648 and 432 ​

Answer 1

Question :- find the LCM of 864 1296 648 and 432 ?

Solution :-

Prime factors of 864, 1296, 648 and 432 is :-

→ 864 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2⁵ × 3³

→ 1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 = 2⁴ × 3⁴

→ 648 = 2 × 2 × 2 × 3 × 3 × 3 × 3 = 2³ × 3⁴

→ 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2⁴ × 3³ .

LCM :- Multiple of each factor with greatest Power.

Therefore,

→ LCM = 2⁵ × 3⁴

→ LCM = 32 × 81

→ LCM = 2592 .(Ans.)

Hence, the LCM of 864, 1296, 648 and 432 is 2592.

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Answer 2

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