Least Common Multiple of 539/136, 286/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/136, 286/778 quickly i.e. 7007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/136, 286/778 is 7007.

LCM(539/136, 286/778) = 7007

LCM of 539/136, 286/778

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 539/136,286/778

Given numbers are 539/136,286/778

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 539,286

Least Common Multiple of Numerators i.e. LCM of 539,286 is 14014.

GCF of Denominators means GCF of 136,778 as per the given fractions.

GCF of 136,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,286

LCM of Fractions 539/136,286/778 is 7007

11 539, 286
49, 26

∴ So the LCM of the given numbers is 11 x 49 x 26 = 14014

Least Common Multiple of 539,286 with GCF Formula

Least Common Multiple of 539,286 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 539,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,286) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(539,286) x common factors =11 x 1 = 11

LCM(539,286) = ( 539 × 286 ) / 11

LCM(539,286) = 154154 / 11

LCM(539,286) = 14014


Lets's calculate GCF of 136,778

2 136, 778
68, 389

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14014/2

Therefore the LCM of Fractions 539/136,286/778 is 7007

Greatest Common Factor of 136,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,778 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 136,778 . The biggest common factor number is the GCF number.
So the greatest common factor 136,778 is 2.


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 539/136, 286/778

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 539/136, 286/778?

Answer: LCM of Numerators as per given numbers 539/136, 286/778 is

LCM of Numerators i.e. for 539,286 is 14014

GCF of denominators i.e. for 136,778 is 2.

Thus, LCM of Fractions is 7007.Finally, LCM of Fractions for 539/136, 286/778 is 7007.