Least Common Multiple of 31/126, 96/332, 778/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/126, 96/332, 778/347 quickly i.e. 1157664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/126, 96/332, 778/347 is 1157664.

LCM(31/126, 96/332, 778/347) = 1157664

LCM of 31/126, 96/332, 778/347

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 31/126,96/332,778/347

Given numbers are 31/126,96/332,778/347

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 31,96,778

Least Common Multiple of Numerators i.e. LCM of 31,96,778 is 1157664.

GCF of Denominators means GCF of 126,332,347 as per the given fractions.

GCF of 126,332,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,96,778

LCM of Fractions 31/126,96/332,778/347 is 1157664

2 31, 96, 778
31, 48, 389

∴ So the LCM of the given numbers is 2 x 31 x 48 x 389 = 1157664

Least Common Multiple of 31,96,778 with GCF Formula

Least Common Multiple of 31,96,778 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 31,96,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,96,778) = 1

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

GCF(31,96,778) x common factors =1 x 2 = 2

LCM(31,96,778) = ( 31 × 96 × 778 ) / 2

LCM(31,96,778) = 2315328 / 2

LCM(31,96,778) = 1157664


Lets's calculate GCF of 126,332,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1157664/1

Therefore the LCM of Fractions 31/126,96/332,778/347 is 1157664

Greatest Common Factor of 126,332,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,332,347 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 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 126,332,347 . The biggest common factor number is the GCF number.
So the greatest common factor 126,332,347 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 31/126, 96/332, 778/347

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 31/126, 96/332, 778/347?

Answer: LCM of Numerators as per given numbers 31/126, 96/332, 778/347 is

LCM of Numerators i.e. for 31,96,778 is 1157664

GCF of denominators i.e. for 126,332,347 is 1.

Thus, LCM of Fractions is 1157664.Finally, LCM of Fractions for 31/126, 96/332, 778/347 is 1157664.