Least Common Multiple of 4810/580, 9924/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4810/580, 9924/676 quickly i.e. 5966805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4810/580, 9924/676 is 5966805.

LCM(4810/580, 9924/676) = 5966805

LCM of 4810/580, 9924/676

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 4810/580,9924/676

Given numbers are 4810/580,9924/676

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 4810,9924

Least Common Multiple of Numerators i.e. LCM of 4810,9924 is 23867220.

GCF of Denominators means GCF of 580,676 as per the given fractions.

GCF of 580,676 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4810,9924

LCM of Fractions 4810/580,9924/676 is 5966805

2 4810, 9924
2405, 4962

∴ So the LCM of the given numbers is 2 x 2405 x 4962 = 23867220

Least Common Multiple of 4810,9924 with GCF Formula

Least Common Multiple of 4810,9924 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 4810,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4810,9924) = 2

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

GCF(4810,9924) x common factors =2 x 1 = 2

LCM(4810,9924) = ( 4810 × 9924 ) / 2

LCM(4810,9924) = 47734440 / 2

LCM(4810,9924) = 23867220


Lets's calculate GCF of 580,676

2 580, 676
2 290, 338
145, 169

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23867220/4

Therefore the LCM of Fractions 4810/580,9924/676 is 5966805

Greatest Common Factor of 580,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,676 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 580,676 . The biggest common factor number is the GCF number.
So the greatest common factor 580,676 is 4.


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 4810/580, 9924/676

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 4810/580, 9924/676?

Answer: LCM of Numerators as per given numbers 4810/580, 9924/676 is

LCM of Numerators i.e. for 4810,9924 is 23867220

GCF of denominators i.e. for 580,676 is 4.

Thus, LCM of Fractions is 5966805.Finally, LCM of Fractions for 4810/580, 9924/676 is 5966805.