Least Common Multiple of 8909/70, 1261/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8909/70, 1261/126 quickly i.e. 11234249/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8909/70, 1261/126 is 11234249/14.

LCM(8909/70, 1261/126) = 11234249/14

LCM of 8909/70, 1261/126

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 8909/70,1261/126

Given numbers are 8909/70,1261/126

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 8909,1261

Least Common Multiple of Numerators i.e. LCM of 8909,1261 is 11234249.

GCF of Denominators means GCF of 70,126 as per the given fractions.

GCF of 70,126 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8909,1261

LCM of Fractions 8909/70,1261/126 is 11234249/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 11234249

Least Common Multiple of 8909,1261 with GCF Formula

Least Common Multiple of 8909,1261 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 8909,1261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8909,1261) = 1

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

GCF(8909,1261) x common factors =1 x 1 = 1

LCM(8909,1261) = ( 8909 × 1261 ) / 1

LCM(8909,1261) = 11234249 / 1

LCM(8909,1261) = 11234249


Lets's calculate GCF of 70,126

2 70, 126
7 35, 63
5, 9

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11234249/14

Therefore the LCM of Fractions 8909/70,1261/126 is 11234249/14

Greatest Common Factor of 70,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,126 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 70,126 . The biggest common factor number is the GCF number.
So the greatest common factor 70,126 is 14.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8909/70, 1261/126

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 8909/70, 1261/126?

Answer: LCM of Numerators as per given numbers 8909/70, 1261/126 is

LCM of Numerators i.e. for 8909,1261 is 11234249

GCF of denominators i.e. for 70,126 is 14.

Thus, LCM of Fractions is 11234249/14.Finally, LCM of Fractions for 8909/70, 1261/126 is 11234249/14.