Least Common Multiple of 346/427, 404/528, 877/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 346/427, 404/528, 877/976 quickly i.e. 61295284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/427, 404/528, 877/976 is 61295284.

LCM(346/427, 404/528, 877/976) = 61295284

LCM of 346/427, 404/528, 877/976

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 346/427,404/528,877/976

Given numbers are 346/427,404/528,877/976

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 346,404,877

Least Common Multiple of Numerators i.e. LCM of 346,404,877 is 61295284.

GCF of Denominators means GCF of 427,528,976 as per the given fractions.

GCF of 427,528,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,404,877

LCM of Fractions 346/427,404/528,877/976 is 61295284

2 346, 404, 877
173, 202, 877

∴ So the LCM of the given numbers is 2 x 173 x 202 x 877 = 61295284

Least Common Multiple of 346,404,877 with GCF Formula

Least Common Multiple of 346,404,877 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 346,404,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,404,877) = 1

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

GCF(346,404,877) x common factors =1 x 2 = 2

LCM(346,404,877) = ( 346 × 404 × 877 ) / 2

LCM(346,404,877) = 122590568 / 2

LCM(346,404,877) = 61295284


Lets's calculate GCF of 427,528,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61295284/1

Therefore the LCM of Fractions 346/427,404/528,877/976 is 61295284

Greatest Common Factor of 427,528,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,528,976 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 427,528,976 . The biggest common factor number is the GCF number.
So the greatest common factor 427,528,976 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 346/427, 404/528, 877/976

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 346/427, 404/528, 877/976?

Answer: LCM of Numerators as per given numbers 346/427, 404/528, 877/976 is

LCM of Numerators i.e. for 346,404,877 is 61295284

GCF of denominators i.e. for 427,528,976 is 1.

Thus, LCM of Fractions is 61295284.Finally, LCM of Fractions for 346/427, 404/528, 877/976 is 61295284.