Least Common Multiple of 89/876, 93/400, 961/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/876, 93/400, 961/835 quickly i.e. 256587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/876, 93/400, 961/835 is 256587.

LCM(89/876, 93/400, 961/835) = 256587

LCM of 89/876, 93/400, 961/835

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 89/876,93/400,961/835

Given numbers are 89/876,93/400,961/835

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 89,93,961

Least Common Multiple of Numerators i.e. LCM of 89,93,961 is 256587.

GCF of Denominators means GCF of 876,400,835 as per the given fractions.

GCF of 876,400,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,93,961

LCM of Fractions 89/876,93/400,961/835 is 256587

31 89, 93, 961
89, 3, 31

∴ So the LCM of the given numbers is 31 x 89 x 3 x 31 = 256587

Least Common Multiple of 89,93,961 with GCF Formula

Least Common Multiple of 89,93,961 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 89,93,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,93,961) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(89,93,961) x common factors =1 x 31 = 31

LCM(89,93,961) = ( 89 × 93 × 961 ) / 31

LCM(89,93,961) = 7954197 / 31

LCM(89,93,961) = 256587


Lets's calculate GCF of 876,400,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256587/1

Therefore the LCM of Fractions 89/876,93/400,961/835 is 256587

Greatest Common Factor of 876,400,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,400,835 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 876,400,835 . The biggest common factor number is the GCF number.
So the greatest common factor 876,400,835 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 89/876, 93/400, 961/835

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 89/876, 93/400, 961/835?

Answer: LCM of Numerators as per given numbers 89/876, 93/400, 961/835 is

LCM of Numerators i.e. for 89,93,961 is 256587

GCF of denominators i.e. for 876,400,835 is 1.

Thus, LCM of Fractions is 256587.Finally, LCM of Fractions for 89/876, 93/400, 961/835 is 256587.