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Find the HCF and LCM of 104 4096 and 315 by prime factorization me thod

Answer»

104= 2×2×2×13 =2^3×13
4096= 2×2×2×2×2×2×2×2×2×2×2×2 =2^12
315=5×3×3×7=5×7×3^2


HCF(104,4096 and 315)=PRODUCT of smallest power of each COMMON factor.
=>1

LCM(104,4096 and 315)=Product of GREATEST power of each factor.
=>2^12×13×5×7×3^2
=>1,67,73,120 Ans.


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