Least Common Multiple of 137/539, 1305/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 137/539, 1305/704 quickly i.e. 178785/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/539, 1305/704 is 178785/11.

LCM(137/539, 1305/704) = 178785/11

LCM of 137/539, 1305/704

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 137/539,1305/704

Given numbers are 137/539,1305/704

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 137,1305

Least Common Multiple of Numerators i.e. LCM of 137,1305 is 178785.

GCF of Denominators means GCF of 539,704 as per the given fractions.

GCF of 539,704 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,1305

LCM of Fractions 137/539,1305/704 is 178785/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 178785

Least Common Multiple of 137,1305 with GCF Formula

Least Common Multiple of 137,1305 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 137,1305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,1305) = 1

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

GCF(137,1305) x common factors =1 x 1 = 1

LCM(137,1305) = ( 137 × 1305 ) / 1

LCM(137,1305) = 178785 / 1

LCM(137,1305) = 178785


Lets's calculate GCF of 539,704

11 539, 704
49, 64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178785/11

Therefore the LCM of Fractions 137/539,1305/704 is 178785/11

Greatest Common Factor of 539,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,704 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 539,704 . The biggest common factor number is the GCF number.
So the greatest common factor 539,704 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 137/539, 1305/704

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 137/539, 1305/704?

Answer: LCM of Numerators as per given numbers 137/539, 1305/704 is

LCM of Numerators i.e. for 137,1305 is 178785

GCF of denominators i.e. for 539,704 is 11.

Thus, LCM of Fractions is 178785/11.Finally, LCM of Fractions for 137/539, 1305/704 is 178785/11.