Least Common Multiple of 882/85, 959/5809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 882/85, 959/5809 quickly i.e. 120834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/85, 959/5809 is 120834.

LCM(882/85, 959/5809) = 120834

LCM of 882/85, 959/5809

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 882/85,959/5809

Given numbers are 882/85,959/5809

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 882,959

Least Common Multiple of Numerators i.e. LCM of 882,959 is 120834.

GCF of Denominators means GCF of 85,5809 as per the given fractions.

GCF of 85,5809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,959

LCM of Fractions 882/85,959/5809 is 120834

7 882, 959
126, 137

∴ So the LCM of the given numbers is 7 x 126 x 137 = 120834

Least Common Multiple of 882,959 with GCF Formula

Least Common Multiple of 882,959 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 882,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,959) = 7

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

GCF(882,959) x common factors =7 x 1 = 7

LCM(882,959) = ( 882 × 959 ) / 7

LCM(882,959) = 845838 / 7

LCM(882,959) = 120834


Lets's calculate GCF of 85,5809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120834/1

Therefore the LCM of Fractions 882/85,959/5809 is 120834

Greatest Common Factor of 85,5809 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,5809 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 5809

List of positive integer factors of 5809 that divides 5809 without a remainder.

1,37,157,5809

Greatest Common Factor

We found the factors 85,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 85,5809 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 882/85, 959/5809

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 882/85, 959/5809?

Answer: LCM of Numerators as per given numbers 882/85, 959/5809 is

LCM of Numerators i.e. for 882,959 is 120834

GCF of denominators i.e. for 85,5809 is 1.

Thus, LCM of Fractions is 120834.Finally, LCM of Fractions for 882/85, 959/5809 is 120834.