find the HCF of the following LDM 216,828
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Step-by-step explanation:
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The given monomials 240 and 64x
8
can be factorised as follows:
240=2×2×2×2×3×5
64x
8
=2×2×2×2×2×2×x×x×x×x×x×x×x×x
We know that HCF is the highest common factor, therefore, the HCF of 240 and 64x
8
is:
HCF=2×2×2×2=16
Also, the LCM is the least common multiple, therefore, the LCM of 240 and 64x
8
is:
LCM=2×2×2×2×2×2×3×5×x×x×x×x×x×x×x×x=960x
8
Hence, the HCF is 16 and LCM is 960x
8
.
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