Least Common Multiple of 542/269, 852/863, 221/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/269, 852/863, 221/253 quickly i.e. 51027132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/269, 852/863, 221/253 is 51027132.

LCM(542/269, 852/863, 221/253) = 51027132

LCM of 542/269, 852/863, 221/253

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 542/269,852/863,221/253

Given numbers are 542/269,852/863,221/253

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 542,852,221

Least Common Multiple of Numerators i.e. LCM of 542,852,221 is 51027132.

GCF of Denominators means GCF of 269,863,253 as per the given fractions.

GCF of 269,863,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,852,221

LCM of Fractions 542/269,852/863,221/253 is 51027132

2 542, 852, 221
271, 426, 221

∴ So the LCM of the given numbers is 2 x 271 x 426 x 221 = 51027132

Least Common Multiple of 542,852,221 with GCF Formula

Least Common Multiple of 542,852,221 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 542,852,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,852,221) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(542,852,221) x common factors =1 x 2 = 2

LCM(542,852,221) = ( 542 × 852 × 221 ) / 2

LCM(542,852,221) = 102054264 / 2

LCM(542,852,221) = 51027132


Lets's calculate GCF of 269,863,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51027132/1

Therefore the LCM of Fractions 542/269,852/863,221/253 is 51027132

Greatest Common Factor of 269,863,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,863,253 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 269,863,253 . The biggest common factor number is the GCF number.
So the greatest common factor 269,863,253 is 1.


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 542/269, 852/863, 221/253

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 542/269, 852/863, 221/253?

Answer: LCM of Numerators as per given numbers 542/269, 852/863, 221/253 is

LCM of Numerators i.e. for 542,852,221 is 51027132

GCF of denominators i.e. for 269,863,253 is 1.

Thus, LCM of Fractions is 51027132.Finally, LCM of Fractions for 542/269, 852/863, 221/253 is 51027132.