Least Common Multiple of 41/876, 99/355, 984/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/876, 99/355, 984/231 quickly i.e. 32472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/876, 99/355, 984/231 is 32472.

LCM(41/876, 99/355, 984/231) = 32472

LCM of 41/876, 99/355, 984/231

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 41/876,99/355,984/231

Given numbers are 41/876,99/355,984/231

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 41,99,984

Least Common Multiple of Numerators i.e. LCM of 41,99,984 is 32472.

GCF of Denominators means GCF of 876,355,231 as per the given fractions.

GCF of 876,355,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,99,984

LCM of Fractions 41/876,99/355,984/231 is 32472

3 41, 99, 984
41 41, 33, 328
1, 33, 8

∴ So the LCM of the given numbers is 3 x 41 x 1 x 33 x 8 = 32472

Least Common Multiple of 41,99,984 with GCF Formula

Least Common Multiple of 41,99,984 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 41,99,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,99,984) = 1

common factors(in case of two or more numbers have common factors) = 123

GCF(41,99,984) x common factors =1 x 123 = 123

LCM(41,99,984) = ( 41 × 99 × 984 ) / 123

LCM(41,99,984) = 3994056 / 123

LCM(41,99,984) = 32472


Lets's calculate GCF of 876,355,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32472/1

Therefore the LCM of Fractions 41/876,99/355,984/231 is 32472

Greatest Common Factor of 876,355,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,355,231 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 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 876,355,231 . The biggest common factor number is the GCF number.
So the greatest common factor 876,355,231 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 41/876, 99/355, 984/231

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 41/876, 99/355, 984/231?

Answer: LCM of Numerators as per given numbers 41/876, 99/355, 984/231 is

LCM of Numerators i.e. for 41,99,984 is 32472

GCF of denominators i.e. for 876,355,231 is 1.

Thus, LCM of Fractions is 32472.Finally, LCM of Fractions for 41/876, 99/355, 984/231 is 32472.