Least Common Multiple of 5138/650, 9653/5264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5138/650, 9653/5264 quickly i.e. 3542651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5138/650, 9653/5264 is 3542651.

LCM(5138/650, 9653/5264) = 3542651

LCM of 5138/650, 9653/5264

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 5138/650,9653/5264

Given numbers are 5138/650,9653/5264

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 5138,9653

Least Common Multiple of Numerators i.e. LCM of 5138,9653 is 7085302.

GCF of Denominators means GCF of 650,5264 as per the given fractions.

GCF of 650,5264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5138,9653

LCM of Fractions 5138/650,9653/5264 is 3542651

7 5138, 9653
734, 1379

∴ So the LCM of the given numbers is 7 x 734 x 1379 = 7085302

Least Common Multiple of 5138,9653 with GCF Formula

Least Common Multiple of 5138,9653 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 5138,9653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5138,9653) = 7

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

GCF(5138,9653) x common factors =7 x 1 = 7

LCM(5138,9653) = ( 5138 × 9653 ) / 7

LCM(5138,9653) = 49597114 / 7

LCM(5138,9653) = 7085302


Lets's calculate GCF of 650,5264

2 650, 5264
325, 2632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7085302/2

Therefore the LCM of Fractions 5138/650,9653/5264 is 3542651

Greatest Common Factor of 650,5264 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,5264 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264

Greatest Common Factor

We found the factors 650,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 650,5264 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 5138/650, 9653/5264

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 5138/650, 9653/5264?

Answer: LCM of Numerators as per given numbers 5138/650, 9653/5264 is

LCM of Numerators i.e. for 5138,9653 is 7085302

GCF of denominators i.e. for 650,5264 is 2.

Thus, LCM of Fractions is 3542651.Finally, LCM of Fractions for 5138/650, 9653/5264 is 3542651.