Least Common Multiple of 84/743, 35/124, 709/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/743, 35/124, 709/131 quickly i.e. 297780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/743, 35/124, 709/131 is 297780.

LCM(84/743, 35/124, 709/131) = 297780

LCM of 84/743, 35/124, 709/131

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 84/743,35/124,709/131

Given numbers are 84/743,35/124,709/131

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 84,35,709

Least Common Multiple of Numerators i.e. LCM of 84,35,709 is 297780.

GCF of Denominators means GCF of 743,124,131 as per the given fractions.

GCF of 743,124,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,35,709

LCM of Fractions 84/743,35/124,709/131 is 297780

7 84, 35, 709
12, 5, 709

∴ So the LCM of the given numbers is 7 x 12 x 5 x 709 = 297780

Least Common Multiple of 84,35,709 with GCF Formula

Least Common Multiple of 84,35,709 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 84,35,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,35,709) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(84,35,709) x common factors =1 x 7 = 7

LCM(84,35,709) = ( 84 × 35 × 709 ) / 7

LCM(84,35,709) = 2084460 / 7

LCM(84,35,709) = 297780


Lets's calculate GCF of 743,124,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297780/1

Therefore the LCM of Fractions 84/743,35/124,709/131 is 297780

Greatest Common Factor of 743,124,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,124,131 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 743,124,131 . The biggest common factor number is the GCF number.
So the greatest common factor 743,124,131 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 84/743, 35/124, 709/131

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 84/743, 35/124, 709/131?

Answer: LCM of Numerators as per given numbers 84/743, 35/124, 709/131 is

LCM of Numerators i.e. for 84,35,709 is 297780

GCF of denominators i.e. for 743,124,131 is 1.

Thus, LCM of Fractions is 297780.Finally, LCM of Fractions for 84/743, 35/124, 709/131 is 297780.