Question

Find LCM and HCF of the following integers by using prime factorization method: 36, 45, and 72

Answer 1

Answer:

HCF=9

LCM=90

Step-by-step explanation:

first factorize all the three numbers

then find highest common factor from all three as HCF then find LCM.

• you get the answer....

Answer 2

Answer:

Prime factorization of 36 is=2×2×3×3

prime factorization of 45=3×3×5

and 72=2×2×2×3×3

Now,

We know that,

HCF= product of smallest power of each prime factor so, HCF(36,45 and 72)=9

And LCM= product of highest power of the each prime factor so, LCM(36,45 and 72)=360

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