Least Common Multiple of 331/126, 514/867, 944/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/126, 514/867, 944/677 quickly i.e. 80303248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/126, 514/867, 944/677 is 80303248.

LCM(331/126, 514/867, 944/677) = 80303248

LCM of 331/126, 514/867, 944/677

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 331/126,514/867,944/677

Given numbers are 331/126,514/867,944/677

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 331,514,944

Least Common Multiple of Numerators i.e. LCM of 331,514,944 is 80303248.

GCF of Denominators means GCF of 126,867,677 as per the given fractions.

GCF of 126,867,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,514,944

LCM of Fractions 331/126,514/867,944/677 is 80303248

2 331, 514, 944
331, 257, 472

∴ So the LCM of the given numbers is 2 x 331 x 257 x 472 = 80303248

Least Common Multiple of 331,514,944 with GCF Formula

Least Common Multiple of 331,514,944 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 331,514,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,514,944) = 1

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

GCF(331,514,944) x common factors =1 x 2 = 2

LCM(331,514,944) = ( 331 × 514 × 944 ) / 2

LCM(331,514,944) = 160606496 / 2

LCM(331,514,944) = 80303248


Lets's calculate GCF of 126,867,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80303248/1

Therefore the LCM of Fractions 331/126,514/867,944/677 is 80303248

Greatest Common Factor of 126,867,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,867,677 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 126,867,677 . The biggest common factor number is the GCF number.
So the greatest common factor 126,867,677 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 331/126, 514/867, 944/677

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 331/126, 514/867, 944/677?

Answer: LCM of Numerators as per given numbers 331/126, 514/867, 944/677 is

LCM of Numerators i.e. for 331,514,944 is 80303248

GCF of denominators i.e. for 126,867,677 is 1.

Thus, LCM of Fractions is 80303248.Finally, LCM of Fractions for 331/126, 514/867, 944/677 is 80303248.