using prime factorization find the HCF and LCM of 396 and 1080 verify that HCF into LCM is equal to product of given numbers.
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Answered by
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396 and 1080
396 =2×2×3×3×11
1080=2×2×2×3×3×3×5
H.C.F = 2×2×3×3 = 36
l.C.M = 2×3×5×11 = 1080× 36 = 427680
product of numbers = 396 × 1080 = 427680
hence verified
Answered by
8
- 396 = 2 × 2 × 3 × 3 × 11
- 1080 = 2 × 2 × 2 × 5 × 3 × 3 × 3
- HCF = 2 × 2 × 3 × 3
HCF = 36
- LCM = 2 × 2 × 3 × 3 × 2 × 5 × 3 × 11
- LCM = 1080 × 11
LCM = 11880
Verification -
- LCM × HCF = Product of two number.
- 11880 × 36 = 396 × 1080
- 427680 = 427680
- L•H•S = R•H•S
Verified.
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