Least Common Multiple of 9344/136, 5470/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9344/136, 5470/514 quickly i.e. 12777920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9344/136, 5470/514 is 12777920.

LCM(9344/136, 5470/514) = 12777920

LCM of 9344/136, 5470/514

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 9344/136,5470/514

Given numbers are 9344/136,5470/514

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 9344,5470

Least Common Multiple of Numerators i.e. LCM of 9344,5470 is 25555840.

GCF of Denominators means GCF of 136,514 as per the given fractions.

GCF of 136,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9344,5470

LCM of Fractions 9344/136,5470/514 is 12777920

2 9344, 5470
4672, 2735

∴ So the LCM of the given numbers is 2 x 4672 x 2735 = 25555840

Least Common Multiple of 9344,5470 with GCF Formula

Least Common Multiple of 9344,5470 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 9344,5470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9344,5470) = 2

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

GCF(9344,5470) x common factors =2 x 1 = 2

LCM(9344,5470) = ( 9344 × 5470 ) / 2

LCM(9344,5470) = 51111680 / 2

LCM(9344,5470) = 25555840


Lets's calculate GCF of 136,514

2 136, 514
68, 257

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25555840/2

Therefore the LCM of Fractions 9344/136,5470/514 is 12777920

Greatest Common Factor of 136,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,514 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 136,514 . The biggest common factor number is the GCF number.
So the greatest common factor 136,514 is 2.


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 9344/136, 5470/514

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 9344/136, 5470/514?

Answer: LCM of Numerators as per given numbers 9344/136, 5470/514 is

LCM of Numerators i.e. for 9344,5470 is 25555840

GCF of denominators i.e. for 136,514 is 2.

Thus, LCM of Fractions is 12777920.Finally, LCM of Fractions for 9344/136, 5470/514 is 12777920.