lcm n hcf of 12,72,1087also verify that Lcm*hcf=product of numbers
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Answer:
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Answer:
The prime factors of the numbers 12, 72 and 120,
12=2\times 2\times 312=2×2×3
72=2\times 2\times 2\times 3\times 372=2×2×2×3×3
120=2\times 2\times 2\times 3\times 5120=2×2×2×3×5
HCF is the highest common factor,
HCF(12,72,120)=2\times 2\times 3HCF(12,72,120)=2×2×3
HCF(12,72,120)=12HCF(12,72,120)=12
LCM is the least common factor,
LCM(12,72,120)=2\times 2\times 2\times 3\times 3\times 5LCM(12,72,120)=2×2×2×3×3×5
LCM(12,72,120)=360LCM(12,72,120)=360
Now, Product of three numbers
P=12\times 72\times 120P=12×72×120
P=103680P=103680
Multiple of HCF and LCM,
HCF\times LCM=12\times 360HCF×LCM=12×360
HCF\times LCM=4320HCF×LCM=4320
As HCF and LCM is not equal to the product of three given numbers.
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