Least Common Multiple of 5942/870, 5288/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5942/870, 5288/826 quickly i.e. 7855324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5942/870, 5288/826 is 7855324.

LCM(5942/870, 5288/826) = 7855324

LCM of 5942/870, 5288/826

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 5942/870,5288/826

Given numbers are 5942/870,5288/826

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 5942,5288

Least Common Multiple of Numerators i.e. LCM of 5942,5288 is 15710648.

GCF of Denominators means GCF of 870,826 as per the given fractions.

GCF of 870,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5942,5288

LCM of Fractions 5942/870,5288/826 is 7855324

2 5942, 5288
2971, 2644

∴ So the LCM of the given numbers is 2 x 2971 x 2644 = 15710648

Least Common Multiple of 5942,5288 with GCF Formula

Least Common Multiple of 5942,5288 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 5942,5288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5942,5288) = 2

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

GCF(5942,5288) x common factors =2 x 1 = 2

LCM(5942,5288) = ( 5942 × 5288 ) / 2

LCM(5942,5288) = 31421296 / 2

LCM(5942,5288) = 15710648


Lets's calculate GCF of 870,826

2 870, 826
435, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15710648/2

Therefore the LCM of Fractions 5942/870,5288/826 is 7855324

Greatest Common Factor of 870,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,826 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

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 870,826 . The biggest common factor number is the GCF number.
So the greatest common factor 870,826 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 5942/870, 5288/826

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 5942/870, 5288/826?

Answer: LCM of Numerators as per given numbers 5942/870, 5288/826 is

LCM of Numerators i.e. for 5942,5288 is 15710648

GCF of denominators i.e. for 870,826 is 2.

Thus, LCM of Fractions is 7855324.Finally, LCM of Fractions for 5942/870, 5288/826 is 7855324.