Question

Using H.C.F (a, b) x L.C.M (a, b) = ab, find L.C.M (105, 91)​

Answer 1

Answer:

1365

Step-by-step explanation:

105>91

105 =91×1+14

Here , reminder is not equal to 0

therefore ,we need to divide 91 by 144

91=14×6+7

Here , reminder is not equal to 0

therefore, we need to divide 14 by 7

>14 =7×2 +0

Here, reminder is 0

Therefore HCF (105,91)=7

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