Math, asked by shweta3943, 7 months ago

Find the H.C.F. of 84 and 216, if their L.C.M. is 1,512.​

Answers

Answered by Anonymous
28

The lcm of 84 and 216 is 1512.

Steps to find LCM

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 216

216 = 2 × 2 × 2 × 3 × 3 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 3 × 3 × 7

LCM = 1512

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Find least common multiple (lcm) of: 168 & 432 42 & 108 252 & 648 28 & 72 420 & 1080 588 & 1512 168 & 216 84 & 432 252 & 216 84 & 648 420 & 216 84 & 1080 588 & 216 84 & 1512

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10,12

Answered by udayagrawal49
4

Answer:

H.C.F.(84,216) = 12

Step-by-step explanation:

84 = 2×2×3×7

216 = 2×2×2×3×3×3

⇒ H.C.F.(84,216) = 2×2×3

or H.C.F.(84,216) = 12

Please mark it as Brainliest.

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