Least Common Multiple of 5820/284, 2931/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5820/284, 2931/418 quickly i.e. 2843070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5820/284, 2931/418 is 2843070.

LCM(5820/284, 2931/418) = 2843070

LCM of 5820/284, 2931/418

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 5820/284,2931/418

Given numbers are 5820/284,2931/418

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 5820,2931

Least Common Multiple of Numerators i.e. LCM of 5820,2931 is 5686140.

GCF of Denominators means GCF of 284,418 as per the given fractions.

GCF of 284,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5820,2931

LCM of Fractions 5820/284,2931/418 is 2843070

3 5820, 2931
1940, 977

∴ So the LCM of the given numbers is 3 x 1940 x 977 = 5686140

Least Common Multiple of 5820,2931 with GCF Formula

Least Common Multiple of 5820,2931 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 5820,2931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5820,2931) = 3

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

GCF(5820,2931) x common factors =3 x 1 = 3

LCM(5820,2931) = ( 5820 × 2931 ) / 3

LCM(5820,2931) = 17058420 / 3

LCM(5820,2931) = 5686140


Lets's calculate GCF of 284,418

2 284, 418
142, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5686140/2

Therefore the LCM of Fractions 5820/284,2931/418 is 2843070

Greatest Common Factor of 284,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,418 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 284,418 . The biggest common factor number is the GCF number.
So the greatest common factor 284,418 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 5820/284, 2931/418

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 5820/284, 2931/418?

Answer: LCM of Numerators as per given numbers 5820/284, 2931/418 is

LCM of Numerators i.e. for 5820,2931 is 5686140

GCF of denominators i.e. for 284,418 is 2.

Thus, LCM of Fractions is 2843070.Finally, LCM of Fractions for 5820/284, 2931/418 is 2843070.