Least Common Multiple of 41/87, 815/82, 608/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/87, 815/82, 608/924 quickly i.e. 20316320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/87, 815/82, 608/924 is 20316320.

LCM(41/87, 815/82, 608/924) = 20316320

LCM of 41/87, 815/82, 608/924

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 41/87,815/82,608/924

Given numbers are 41/87,815/82,608/924

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 41,815,608

Least Common Multiple of Numerators i.e. LCM of 41,815,608 is 20316320.

GCF of Denominators means GCF of 87,82,924 as per the given fractions.

GCF of 87,82,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,815,608

LCM of Fractions 41/87,815/82,608/924 is 20316320

Given numbers has no common factors except 1. So, there LCM is their product i.e 20316320

Least Common Multiple of 41,815,608 with GCF Formula

Least Common Multiple of 41,815,608 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 41,815,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,815,608) = 1

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

GCF(41,815,608) x common factors =1 x 1 = 1

LCM(41,815,608) = ( 41 × 815 × 608 ) / 1

LCM(41,815,608) = 20316320 / 1

LCM(41,815,608) = 20316320


Lets's calculate GCF of 87,82,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20316320/1

Therefore the LCM of Fractions 41/87,815/82,608/924 is 20316320

Greatest Common Factor of 87,82,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,82,924 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 87,82,924 . The biggest common factor number is the GCF number.
So the greatest common factor 87,82,924 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 41/87, 815/82, 608/924

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 41/87, 815/82, 608/924?

Answer: LCM of Numerators as per given numbers 41/87, 815/82, 608/924 is

LCM of Numerators i.e. for 41,815,608 is 20316320

GCF of denominators i.e. for 87,82,924 is 1.

Thus, LCM of Fractions is 20316320.Finally, LCM of Fractions for 41/87, 815/82, 608/924 is 20316320.