Least Common Multiple of 842/873, 5926/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 842/873, 5926/760 quickly i.e. 2494846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/873, 5926/760 is 2494846.

LCM(842/873, 5926/760) = 2494846

LCM of 842/873, 5926/760

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 842/873,5926/760

Given numbers are 842/873,5926/760

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 842,5926

Least Common Multiple of Numerators i.e. LCM of 842,5926 is 2494846.

GCF of Denominators means GCF of 873,760 as per the given fractions.

GCF of 873,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,5926

LCM of Fractions 842/873,5926/760 is 2494846

2 842, 5926
421, 2963

∴ So the LCM of the given numbers is 2 x 421 x 2963 = 2494846

Least Common Multiple of 842,5926 with GCF Formula

Least Common Multiple of 842,5926 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 842,5926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,5926) = 2

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

GCF(842,5926) x common factors =2 x 1 = 2

LCM(842,5926) = ( 842 × 5926 ) / 2

LCM(842,5926) = 4989692 / 2

LCM(842,5926) = 2494846


Lets's calculate GCF of 873,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2494846/1

Therefore the LCM of Fractions 842/873,5926/760 is 2494846

Greatest Common Factor of 873,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,760 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 873,760 . The biggest common factor number is the GCF number.
So the greatest common factor 873,760 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 842/873, 5926/760

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 842/873, 5926/760?

Answer: LCM of Numerators as per given numbers 842/873, 5926/760 is

LCM of Numerators i.e. for 842,5926 is 2494846

GCF of denominators i.e. for 873,760 is 1.

Thus, LCM of Fractions is 2494846.Finally, LCM of Fractions for 842/873, 5926/760 is 2494846.