Least Common Multiple of 54/55, 724/57, 212/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 54/55, 724/57, 212/873 quickly i.e. 1036044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/55, 724/57, 212/873 is 1036044.

LCM(54/55, 724/57, 212/873) = 1036044

LCM of 54/55, 724/57, 212/873

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 54/55,724/57,212/873

Given numbers are 54/55,724/57,212/873

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 54,724,212

Least Common Multiple of Numerators i.e. LCM of 54,724,212 is 1036044.

GCF of Denominators means GCF of 55,57,873 as per the given fractions.

GCF of 55,57,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,724,212

LCM of Fractions 54/55,724/57,212/873 is 1036044

2 54, 724, 212
2 27, 362, 106
27, 181, 53

∴ So the LCM of the given numbers is 2 x 2 x 27 x 181 x 53 = 1036044

Least Common Multiple of 54,724,212 with GCF Formula

Least Common Multiple of 54,724,212 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 54,724,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,724,212) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(54,724,212) x common factors =2 x 4 = 8

LCM(54,724,212) = ( 54 × 724 × 212 ) / 8

LCM(54,724,212) = 8288352 / 8

LCM(54,724,212) = 1036044


Lets's calculate GCF of 55,57,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1036044/1

Therefore the LCM of Fractions 54/55,724/57,212/873 is 1036044

Greatest Common Factor of 55,57,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,57,873 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 55,57,873 . The biggest common factor number is the GCF number.
So the greatest common factor 55,57,873 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/55, 724/57, 212/873

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 54/55, 724/57, 212/873?

Answer: LCM of Numerators as per given numbers 54/55, 724/57, 212/873 is

LCM of Numerators i.e. for 54,724,212 is 1036044

GCF of denominators i.e. for 55,57,873 is 1.

Thus, LCM of Fractions is 1036044.Finally, LCM of Fractions for 54/55, 724/57, 212/873 is 1036044.