find the LCM and HCF of 90 and 144 by prime factorization methods and verify hcf x lcm= product of given no
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HCF
90=2×5×3×3
144=2×2×2×2×3×3
therefore the highest common factor is 2×3×3=18
LCM
L.C.M( 90, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720.now lcm×hcf=720×18=12960
product=144×90=12960
HCF
90=2×5×3×3
144=2×2×2×2×3×3
therefore the highest common factor is 2×3×3=18
LCM
L.C.M( 90, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720.now lcm×hcf=720×18=12960
product=144×90=12960
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