Least Common Multiple of 61/544, 934/311, 976/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/544, 934/311, 976/127 quickly i.e. 455792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/544, 934/311, 976/127 is 455792.

LCM(61/544, 934/311, 976/127) = 455792

LCM of 61/544, 934/311, 976/127

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 61/544,934/311,976/127

Given numbers are 61/544,934/311,976/127

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 61,934,976

Least Common Multiple of Numerators i.e. LCM of 61,934,976 is 455792.

GCF of Denominators means GCF of 544,311,127 as per the given fractions.

GCF of 544,311,127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,934,976

LCM of Fractions 61/544,934/311,976/127 is 455792

2 61, 934, 976
61 61, 467, 488
1, 467, 8

∴ So the LCM of the given numbers is 2 x 61 x 1 x 467 x 8 = 455792

Least Common Multiple of 61,934,976 with GCF Formula

Least Common Multiple of 61,934,976 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 61,934,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,934,976) = 1

common factors(in case of two or more numbers have common factors) = 122

GCF(61,934,976) x common factors =1 x 122 = 122

LCM(61,934,976) = ( 61 × 934 × 976 ) / 122

LCM(61,934,976) = 55606624 / 122

LCM(61,934,976) = 455792


Lets's calculate GCF of 544,311,127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455792/1

Therefore the LCM of Fractions 61/544,934/311,976/127 is 455792

Greatest Common Factor of 544,311,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,311,127 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 544,311,127 . The biggest common factor number is the GCF number.
So the greatest common factor 544,311,127 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/544, 934/311, 976/127

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 61/544, 934/311, 976/127?

Answer: LCM of Numerators as per given numbers 61/544, 934/311, 976/127 is

LCM of Numerators i.e. for 61,934,976 is 455792

GCF of denominators i.e. for 544,311,127 is 1.

Thus, LCM of Fractions is 455792.Finally, LCM of Fractions for 61/544, 934/311, 976/127 is 455792.