Question

find the h.c.f and L. c.m of 270,450 and verify that the product of 270,450=h.c.f×l.c.m. ​

Answer 1

Answer:

HCF = 90 and LCM = 1350

Step-by-step explanation:

Prime factors of 270 are 2, 3, 5. Prime factorization of 270 in exponential form is: 270 = 2^1 × 3^3 × 5^1

Prime factors of 450 are 2, 3, 5. Prime factorization of 450 in exponential form is:  450 = 2^1 × 3^2 × 5^2

Now multiplying the highest exponent prime factors to calculate the LCM of 270 and 450.

LCM(270,450) = 2^1 × 3^3 × 5^2

LCM(270,450) = 1350..

HCF = 2 × 3^2 × 5

= 2 * 9 * 5 = 90.

270*450 = 1350*90

121500=121500

Hence proved :)

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