Least Common Multiple of 89/13, 26/76, 389/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/13, 26/76, 389/522 quickly i.e. 900146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/13, 26/76, 389/522 is 900146.

LCM(89/13, 26/76, 389/522) = 900146

LCM of 89/13, 26/76, 389/522

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 89/13,26/76,389/522

Given numbers are 89/13,26/76,389/522

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 89,26,389

Least Common Multiple of Numerators i.e. LCM of 89,26,389 is 900146.

GCF of Denominators means GCF of 13,76,522 as per the given fractions.

GCF of 13,76,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,26,389

LCM of Fractions 89/13,26/76,389/522 is 900146

Given numbers has no common factors except 1. So, there LCM is their product i.e 900146

Least Common Multiple of 89,26,389 with GCF Formula

Least Common Multiple of 89,26,389 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 89,26,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,26,389) = 1

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

GCF(89,26,389) x common factors =1 x 1 = 1

LCM(89,26,389) = ( 89 × 26 × 389 ) / 1

LCM(89,26,389) = 900146 / 1

LCM(89,26,389) = 900146


Lets's calculate GCF of 13,76,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900146/1

Therefore the LCM of Fractions 89/13,26/76,389/522 is 900146

Greatest Common Factor of 13,76,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,76,522 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 13,76,522 . The biggest common factor number is the GCF number.
So the greatest common factor 13,76,522 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 89/13, 26/76, 389/522

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 89/13, 26/76, 389/522?

Answer: LCM of Numerators as per given numbers 89/13, 26/76, 389/522 is

LCM of Numerators i.e. for 89,26,389 is 900146

GCF of denominators i.e. for 13,76,522 is 1.

Thus, LCM of Fractions is 900146.Finally, LCM of Fractions for 89/13, 26/76, 389/522 is 900146.