Least Common Multiple of 5620/538, 5506/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5620/538, 5506/276 quickly i.e. 7735930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5620/538, 5506/276 is 7735930.

LCM(5620/538, 5506/276) = 7735930

LCM of 5620/538, 5506/276

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 5620/538,5506/276

Given numbers are 5620/538,5506/276

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 5620,5506

Least Common Multiple of Numerators i.e. LCM of 5620,5506 is 15471860.

GCF of Denominators means GCF of 538,276 as per the given fractions.

GCF of 538,276 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5620,5506

LCM of Fractions 5620/538,5506/276 is 7735930

2 5620, 5506
2810, 2753

∴ So the LCM of the given numbers is 2 x 2810 x 2753 = 15471860

Least Common Multiple of 5620,5506 with GCF Formula

Least Common Multiple of 5620,5506 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 5620,5506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5620,5506) = 2

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

GCF(5620,5506) x common factors =2 x 1 = 2

LCM(5620,5506) = ( 5620 × 5506 ) / 2

LCM(5620,5506) = 30943720 / 2

LCM(5620,5506) = 15471860


Lets's calculate GCF of 538,276

2 538, 276
269, 138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15471860/2

Therefore the LCM of Fractions 5620/538,5506/276 is 7735930

Greatest Common Factor of 538,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,276 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 538,276 . The biggest common factor number is the GCF number.
So the greatest common factor 538,276 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 5620/538, 5506/276

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 5620/538, 5506/276?

Answer: LCM of Numerators as per given numbers 5620/538, 5506/276 is

LCM of Numerators i.e. for 5620,5506 is 15471860

GCF of denominators i.e. for 538,276 is 2.

Thus, LCM of Fractions is 7735930.Finally, LCM of Fractions for 5620/538, 5506/276 is 7735930.