Least Common Multiple of 382/976, 135/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/976, 135/826 quickly i.e. 25785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/976, 135/826 is 25785.

LCM(382/976, 135/826) = 25785

LCM of 382/976, 135/826

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 382/976,135/826

Given numbers are 382/976,135/826

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 382,135

Least Common Multiple of Numerators i.e. LCM of 382,135 is 51570.

GCF of Denominators means GCF of 976,826 as per the given fractions.

GCF of 976,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,135

LCM of Fractions 382/976,135/826 is 25785

Given numbers has no common factors except 1. So, there LCM is their product i.e 51570

Least Common Multiple of 382,135 with GCF Formula

Least Common Multiple of 382,135 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 382,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,135) = 1

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

GCF(382,135) x common factors =1 x 1 = 1

LCM(382,135) = ( 382 × 135 ) / 1

LCM(382,135) = 51570 / 1

LCM(382,135) = 51570


Lets's calculate GCF of 976,826

2 976, 826
488, 413

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51570/2

Therefore the LCM of Fractions 382/976,135/826 is 25785

Greatest Common Factor of 976,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,826 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 976,826 . The biggest common factor number is the GCF number.
So the greatest common factor 976,826 is 2.


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 382/976, 135/826

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 382/976, 135/826?

Answer: LCM of Numerators as per given numbers 382/976, 135/826 is

LCM of Numerators i.e. for 382,135 is 51570

GCF of denominators i.e. for 976,826 is 2.

Thus, LCM of Fractions is 25785.Finally, LCM of Fractions for 382/976, 135/826 is 25785.