Question

Find l.c.m. (105, 91) using g.c.d. (a,b) l.c.m. (a,b)=ab

Answer 1

91 = 7 × 13

105 = 3 × 5 × 7

GCD = 7

LCM

= 3 × 5 × 7 × 13

= 105 × 13

= 1365

I hope this answer helps you

Answer 2

(1)

105 > 91

= > 105 = 91 * 1 + 14.

Here, remainder not equal to 0. Therefore, we need to divide 91 by 14.

= > 91 = 14 * 6 + 7.

Here, remainder is not equal to 0. Therefore, we need to divide 14 by 7.

= > 14 = 7 * 2 + 0.

Here remainder is 0.

Therefore, HCF(105,91) = 7.

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Here, a = 105, b = 91 and GCD(105,91) = 7.

Now,

= > GCD(a,b) * LCM(a,b) = ab

= > GCD(105,91) * LCM(105,91) = 105 * 91

= > 7 * LCM(105,91) = 105 * 91

= > LCM(105,91) = (105 * 91)/7

= > 105 * 13

= > 1365.

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Therefore, LCM(105,91) = 1365.

Hope this helps!