Least Common Multiple of 13/89, 30/37, 271/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/89, 30/37, 271/957 quickly i.e. 105690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/89, 30/37, 271/957 is 105690.

LCM(13/89, 30/37, 271/957) = 105690

LCM of 13/89, 30/37, 271/957

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 13/89,30/37,271/957

Given numbers are 13/89,30/37,271/957

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 13,30,271

Least Common Multiple of Numerators i.e. LCM of 13,30,271 is 105690.

GCF of Denominators means GCF of 89,37,957 as per the given fractions.

GCF of 89,37,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,30,271

LCM of Fractions 13/89,30/37,271/957 is 105690

Given numbers has no common factors except 1. So, there LCM is their product i.e 105690

Least Common Multiple of 13,30,271 with GCF Formula

Least Common Multiple of 13,30,271 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 13,30,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,30,271) = 1

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

GCF(13,30,271) x common factors =1 x 1 = 1

LCM(13,30,271) = ( 13 × 30 × 271 ) / 1

LCM(13,30,271) = 105690 / 1

LCM(13,30,271) = 105690


Lets's calculate GCF of 89,37,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105690/1

Therefore the LCM of Fractions 13/89,30/37,271/957 is 105690

Greatest Common Factor of 89,37,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,37,957 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 89,37,957 . The biggest common factor number is the GCF number.
So the greatest common factor 89,37,957 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 13/89, 30/37, 271/957

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 13/89, 30/37, 271/957?

Answer: LCM of Numerators as per given numbers 13/89, 30/37, 271/957 is

LCM of Numerators i.e. for 13,30,271 is 105690

GCF of denominators i.e. for 89,37,957 is 1.

Thus, LCM of Fractions is 105690.Finally, LCM of Fractions for 13/89, 30/37, 271/957 is 105690.