Least Common Multiple of 826/31, 908/3642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/31, 908/3642 quickly i.e. 375004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/31, 908/3642 is 375004.

LCM(826/31, 908/3642) = 375004

LCM of 826/31, 908/3642

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 826/31,908/3642

Given numbers are 826/31,908/3642

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 826,908

Least Common Multiple of Numerators i.e. LCM of 826,908 is 375004.

GCF of Denominators means GCF of 31,3642 as per the given fractions.

GCF of 31,3642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,908

LCM of Fractions 826/31,908/3642 is 375004

2 826, 908
413, 454

∴ So the LCM of the given numbers is 2 x 413 x 454 = 375004

Least Common Multiple of 826,908 with GCF Formula

Least Common Multiple of 826,908 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 826,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,908) = 2

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

GCF(826,908) x common factors =2 x 1 = 2

LCM(826,908) = ( 826 × 908 ) / 2

LCM(826,908) = 750008 / 2

LCM(826,908) = 375004


Lets's calculate GCF of 31,3642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375004/1

Therefore the LCM of Fractions 826/31,908/3642 is 375004

Greatest Common Factor of 31,3642 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,3642 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1,2,3,6,607,1214,1821,3642

Greatest Common Factor

We found the factors 31,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 31,3642 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 826/31, 908/3642

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 826/31, 908/3642?

Answer: LCM of Numerators as per given numbers 826/31, 908/3642 is

LCM of Numerators i.e. for 826,908 is 375004

GCF of denominators i.e. for 31,3642 is 1.

Thus, LCM of Fractions is 375004.Finally, LCM of Fractions for 826/31, 908/3642 is 375004.