Least Common Multiple of 76/338, 86/909, 656/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/338, 86/909, 656/140 quickly i.e. 535952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/338, 86/909, 656/140 is 535952.

LCM(76/338, 86/909, 656/140) = 535952

LCM of 76/338, 86/909, 656/140

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 76/338,86/909,656/140

Given numbers are 76/338,86/909,656/140

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 76,86,656

Least Common Multiple of Numerators i.e. LCM of 76,86,656 is 535952.

GCF of Denominators means GCF of 338,909,140 as per the given fractions.

GCF of 338,909,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,86,656

LCM of Fractions 76/338,86/909,656/140 is 535952

2 76, 86, 656
2 38, 43, 328
19, 43, 164

∴ So the LCM of the given numbers is 2 x 2 x 19 x 43 x 164 = 535952

Least Common Multiple of 76,86,656 with GCF Formula

Least Common Multiple of 76,86,656 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 76,86,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,86,656) = 2

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

GCF(76,86,656) x common factors =2 x 4 = 8

LCM(76,86,656) = ( 76 × 86 × 656 ) / 8

LCM(76,86,656) = 4287616 / 8

LCM(76,86,656) = 535952


Lets's calculate GCF of 338,909,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535952/1

Therefore the LCM of Fractions 76/338,86/909,656/140 is 535952

Greatest Common Factor of 338,909,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,909,140 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 338,909,140 . The biggest common factor number is the GCF number.
So the greatest common factor 338,909,140 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 76/338, 86/909, 656/140

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 76/338, 86/909, 656/140?

Answer: LCM of Numerators as per given numbers 76/338, 86/909, 656/140 is

LCM of Numerators i.e. for 76,86,656 is 535952

GCF of denominators i.e. for 338,909,140 is 1.

Thus, LCM of Fractions is 535952.Finally, LCM of Fractions for 76/338, 86/909, 656/140 is 535952.