Least Common Multiple of 54/884, 83/761, 356/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/884, 83/761, 356/342 quickly i.e. 797796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/884, 83/761, 356/342 is 797796.

LCM(54/884, 83/761, 356/342) = 797796

LCM of 54/884, 83/761, 356/342

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 54/884,83/761,356/342

Given numbers are 54/884,83/761,356/342

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 54,83,356

Least Common Multiple of Numerators i.e. LCM of 54,83,356 is 797796.

GCF of Denominators means GCF of 884,761,342 as per the given fractions.

GCF of 884,761,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,83,356

LCM of Fractions 54/884,83/761,356/342 is 797796

2 54, 83, 356
27, 83, 178

∴ So the LCM of the given numbers is 2 x 27 x 83 x 178 = 797796

Least Common Multiple of 54,83,356 with GCF Formula

Least Common Multiple of 54,83,356 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 54,83,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,83,356) = 1

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

GCF(54,83,356) x common factors =1 x 2 = 2

LCM(54,83,356) = ( 54 × 83 × 356 ) / 2

LCM(54,83,356) = 1595592 / 2

LCM(54,83,356) = 797796


Lets's calculate GCF of 884,761,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 797796/1

Therefore the LCM of Fractions 54/884,83/761,356/342 is 797796

Greatest Common Factor of 884,761,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,761,342 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 884,761,342 . The biggest common factor number is the GCF number.
So the greatest common factor 884,761,342 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 54/884, 83/761, 356/342

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 54/884, 83/761, 356/342?

Answer: LCM of Numerators as per given numbers 54/884, 83/761, 356/342 is

LCM of Numerators i.e. for 54,83,356 is 797796

GCF of denominators i.e. for 884,761,342 is 1.

Thus, LCM of Fractions is 797796.Finally, LCM of Fractions for 54/884, 83/761, 356/342 is 797796.