Least Common Multiple of 137/87, 549/5270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 137/87, 549/5270 quickly i.e. 75213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/87, 549/5270 is 75213.

LCM(137/87, 549/5270) = 75213

LCM of 137/87, 549/5270

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 137/87,549/5270

Given numbers are 137/87,549/5270

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 137,549

Least Common Multiple of Numerators i.e. LCM of 137,549 is 75213.

GCF of Denominators means GCF of 87,5270 as per the given fractions.

GCF of 87,5270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,549

LCM of Fractions 137/87,549/5270 is 75213

Given numbers has no common factors except 1. So, there LCM is their product i.e 75213

Least Common Multiple of 137,549 with GCF Formula

Least Common Multiple of 137,549 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 137,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,549) = 1

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

GCF(137,549) x common factors =1 x 1 = 1

LCM(137,549) = ( 137 × 549 ) / 1

LCM(137,549) = 75213 / 1

LCM(137,549) = 75213


Lets's calculate GCF of 87,5270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75213/1

Therefore the LCM of Fractions 137/87,549/5270 is 75213

Greatest Common Factor of 87,5270 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,5270 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 5270

List of positive integer factors of 5270 that divides 5270 without a remainder.

1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270

Greatest Common Factor

We found the factors 87,5270 . The biggest common factor number is the GCF number.
So the greatest common factor 87,5270 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 137/87, 549/5270

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 137/87, 549/5270?

Answer: LCM of Numerators as per given numbers 137/87, 549/5270 is

LCM of Numerators i.e. for 137,549 is 75213

GCF of denominators i.e. for 87,5270 is 1.

Thus, LCM of Fractions is 75213.Finally, LCM of Fractions for 137/87, 549/5270 is 75213.