Least Common Multiple of 9157/869, 6838/7126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9157/869, 6838/7126 quickly i.e. 62615566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9157/869, 6838/7126 is 62615566.

LCM(9157/869, 6838/7126) = 62615566

LCM of 9157/869, 6838/7126

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9157/869,6838/7126

Given numbers are 9157/869,6838/7126

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9157,6838

Least Common Multiple of Numerators i.e. LCM of 9157,6838 is 62615566.

GCF of Denominators means GCF of 869,7126 as per the given fractions.

GCF of 869,7126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9157,6838

LCM of Fractions 9157/869,6838/7126 is 62615566

Given numbers has no common factors except 1. So, there LCM is their product i.e 62615566

Least Common Multiple of 9157,6838 with GCF Formula

Least Common Multiple of 9157,6838 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9157,6838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9157,6838) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9157,6838) x common factors =1 x 1 = 1

LCM(9157,6838) = ( 9157 × 6838 ) / 1

LCM(9157,6838) = 62615566 / 1

LCM(9157,6838) = 62615566


Lets's calculate GCF of 869,7126

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62615566/1

Therefore the LCM of Fractions 9157/869,6838/7126 is 62615566

Greatest Common Factor of 869,7126 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,7126 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1,2,7,14,509,1018,3563,7126

Greatest Common Factor

We found the factors 869,7126 . The biggest common factor number is the GCF number.
So the greatest common factor 869,7126 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9157/869, 6838/7126

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9157/869, 6838/7126?

Answer: LCM of Numerators as per given numbers 9157/869, 6838/7126 is

LCM of Numerators i.e. for 9157,6838 is 62615566

GCF of denominators i.e. for 869,7126 is 1.

Thus, LCM of Fractions is 62615566.Finally, LCM of Fractions for 9157/869, 6838/7126 is 62615566.