Least Common Multiple of 348/232, 292/755, 538/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/232, 292/755, 538/686 quickly i.e. 6833676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/232, 292/755, 538/686 is 6833676.

LCM(348/232, 292/755, 538/686) = 6833676

LCM of 348/232, 292/755, 538/686

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 348/232,292/755,538/686

Given numbers are 348/232,292/755,538/686

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 348,292,538

Least Common Multiple of Numerators i.e. LCM of 348,292,538 is 6833676.

GCF of Denominators means GCF of 232,755,686 as per the given fractions.

GCF of 232,755,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,292,538

LCM of Fractions 348/232,292/755,538/686 is 6833676

2 348, 292, 538
2 174, 146, 269
87, 73, 269

∴ So the LCM of the given numbers is 2 x 2 x 87 x 73 x 269 = 6833676

Least Common Multiple of 348,292,538 with GCF Formula

Least Common Multiple of 348,292,538 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 348,292,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,292,538) = 2

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

GCF(348,292,538) x common factors =2 x 4 = 8

LCM(348,292,538) = ( 348 × 292 × 538 ) / 8

LCM(348,292,538) = 54669408 / 8

LCM(348,292,538) = 6833676


Lets's calculate GCF of 232,755,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6833676/1

Therefore the LCM of Fractions 348/232,292/755,538/686 is 6833676

Greatest Common Factor of 232,755,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,755,686 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 232,755,686 . The biggest common factor number is the GCF number.
So the greatest common factor 232,755,686 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 348/232, 292/755, 538/686

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 348/232, 292/755, 538/686?

Answer: LCM of Numerators as per given numbers 348/232, 292/755, 538/686 is

LCM of Numerators i.e. for 348,292,538 is 6833676

GCF of denominators i.e. for 232,755,686 is 1.

Thus, LCM of Fractions is 6833676.Finally, LCM of Fractions for 348/232, 292/755, 538/686 is 6833676.