Least Common Multiple of 271/69, 948/14, 686/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/69, 948/14, 686/359 quickly i.e. 88119444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/69, 948/14, 686/359 is 88119444.

LCM(271/69, 948/14, 686/359) = 88119444

LCM of 271/69, 948/14, 686/359

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 271/69,948/14,686/359

Given numbers are 271/69,948/14,686/359

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 271,948,686

Least Common Multiple of Numerators i.e. LCM of 271,948,686 is 88119444.

GCF of Denominators means GCF of 69,14,359 as per the given fractions.

GCF of 69,14,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,948,686

LCM of Fractions 271/69,948/14,686/359 is 88119444

2 271, 948, 686
271, 474, 343

∴ So the LCM of the given numbers is 2 x 271 x 474 x 343 = 88119444

Least Common Multiple of 271,948,686 with GCF Formula

Least Common Multiple of 271,948,686 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 271,948,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,948,686) = 1

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

GCF(271,948,686) x common factors =1 x 2 = 2

LCM(271,948,686) = ( 271 × 948 × 686 ) / 2

LCM(271,948,686) = 176238888 / 2

LCM(271,948,686) = 88119444


Lets's calculate GCF of 69,14,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88119444/1

Therefore the LCM of Fractions 271/69,948/14,686/359 is 88119444

Greatest Common Factor of 69,14,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,14,359 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 69,14,359 . The biggest common factor number is the GCF number.
So the greatest common factor 69,14,359 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 271/69, 948/14, 686/359

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 271/69, 948/14, 686/359?

Answer: LCM of Numerators as per given numbers 271/69, 948/14, 686/359 is

LCM of Numerators i.e. for 271,948,686 is 88119444

GCF of denominators i.e. for 69,14,359 is 1.

Thus, LCM of Fractions is 88119444.Finally, LCM of Fractions for 271/69, 948/14, 686/359 is 88119444.