Least Common Multiple of 539/209, 7772/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/209, 7772/748 quickly i.e. 380828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/209, 7772/748 is 380828.

LCM(539/209, 7772/748) = 380828

LCM of 539/209, 7772/748

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 539/209,7772/748

Given numbers are 539/209,7772/748

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 539,7772

Least Common Multiple of Numerators i.e. LCM of 539,7772 is 4189108.

GCF of Denominators means GCF of 209,748 as per the given fractions.

GCF of 209,748 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,7772

LCM of Fractions 539/209,7772/748 is 380828

Given numbers has no common factors except 1. So, there LCM is their product i.e 4189108

Least Common Multiple of 539,7772 with GCF Formula

Least Common Multiple of 539,7772 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 539,7772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,7772) = 1

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

GCF(539,7772) x common factors =1 x 1 = 1

LCM(539,7772) = ( 539 × 7772 ) / 1

LCM(539,7772) = 4189108 / 1

LCM(539,7772) = 4189108


Lets's calculate GCF of 209,748

11 209, 748
19, 68

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4189108/11

Therefore the LCM of Fractions 539/209,7772/748 is 380828

Greatest Common Factor of 209,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,748 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 209,748 . The biggest common factor number is the GCF number.
So the greatest common factor 209,748 is 11.


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 539/209, 7772/748

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 539/209, 7772/748?

Answer: LCM of Numerators as per given numbers 539/209, 7772/748 is

LCM of Numerators i.e. for 539,7772 is 4189108

GCF of denominators i.e. for 209,748 is 11.

Thus, LCM of Fractions is 380828.Finally, LCM of Fractions for 539/209, 7772/748 is 380828.