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