Least Common Multiple of 5790/928, 8995/8242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5790/928, 8995/8242 quickly i.e. 5208105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5790/928, 8995/8242 is 5208105.

LCM(5790/928, 8995/8242) = 5208105

LCM of 5790/928, 8995/8242

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 5790/928,8995/8242

Given numbers are 5790/928,8995/8242

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 5790,8995

Least Common Multiple of Numerators i.e. LCM of 5790,8995 is 10416210.

GCF of Denominators means GCF of 928,8242 as per the given fractions.

GCF of 928,8242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5790,8995

LCM of Fractions 5790/928,8995/8242 is 5208105

5 5790, 8995
1158, 1799

∴ So the LCM of the given numbers is 5 x 1158 x 1799 = 10416210

Least Common Multiple of 5790,8995 with GCF Formula

Least Common Multiple of 5790,8995 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 5790,8995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5790,8995) = 5

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

GCF(5790,8995) x common factors =5 x 1 = 5

LCM(5790,8995) = ( 5790 × 8995 ) / 5

LCM(5790,8995) = 52081050 / 5

LCM(5790,8995) = 10416210


Lets's calculate GCF of 928,8242

2 928, 8242
464, 4121

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10416210/2

Therefore the LCM of Fractions 5790/928,8995/8242 is 5208105

Greatest Common Factor of 928,8242 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,8242 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 8242

List of positive integer factors of 8242 that divides 8242 without a remainder.

1,2,13,26,317,634,4121,8242

Greatest Common Factor

We found the factors 928,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 928,8242 is 2.


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 5790/928, 8995/8242

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 5790/928, 8995/8242?

Answer: LCM of Numerators as per given numbers 5790/928, 8995/8242 is

LCM of Numerators i.e. for 5790,8995 is 10416210

GCF of denominators i.e. for 928,8242 is 2.

Thus, LCM of Fractions is 5208105.Finally, LCM of Fractions for 5790/928, 8995/8242 is 5208105.