Least Common Multiple of 22/342, 76/715, 940/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/342, 76/715, 940/546 quickly i.e. 196460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/342, 76/715, 940/546 is 196460.

LCM(22/342, 76/715, 940/546) = 196460

LCM of 22/342, 76/715, 940/546

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 22/342,76/715,940/546

Given numbers are 22/342,76/715,940/546

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 22,76,940

Least Common Multiple of Numerators i.e. LCM of 22,76,940 is 196460.

GCF of Denominators means GCF of 342,715,546 as per the given fractions.

GCF of 342,715,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,76,940

LCM of Fractions 22/342,76/715,940/546 is 196460

2 22, 76, 940
2 11, 38, 470
11, 19, 235

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 235 = 196460

Least Common Multiple of 22,76,940 with GCF Formula

Least Common Multiple of 22,76,940 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 22,76,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,76,940) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(22,76,940) x common factors =2 x 4 = 8

LCM(22,76,940) = ( 22 × 76 × 940 ) / 8

LCM(22,76,940) = 1571680 / 8

LCM(22,76,940) = 196460


Lets's calculate GCF of 342,715,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196460/1

Therefore the LCM of Fractions 22/342,76/715,940/546 is 196460

Greatest Common Factor of 342,715,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,715,546 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 342,715,546 . The biggest common factor number is the GCF number.
So the greatest common factor 342,715,546 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 22/342, 76/715, 940/546

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 22/342, 76/715, 940/546?

Answer: LCM of Numerators as per given numbers 22/342, 76/715, 940/546 is

LCM of Numerators i.e. for 22,76,940 is 196460

GCF of denominators i.e. for 342,715,546 is 1.

Thus, LCM of Fractions is 196460.Finally, LCM of Fractions for 22/342, 76/715, 940/546 is 196460.