Least Common Multiple of 720/610, 284/305, 421/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/610, 284/305, 421/540 quickly i.e. 4304304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/610, 284/305, 421/540 is 4304304.

LCM(720/610, 284/305, 421/540) = 4304304

LCM of 720/610, 284/305, 421/540

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 720/610,284/305,421/540

Given numbers are 720/610,284/305,421/540

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 720,284,421

Least Common Multiple of Numerators i.e. LCM of 720,284,421 is 21521520.

GCF of Denominators means GCF of 610,305,540 as per the given fractions.

GCF of 610,305,540 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,284,421

LCM of Fractions 720/610,284/305,421/540 is 4304304

2 720, 284, 421
2 360, 142, 421
180, 71, 421

∴ So the LCM of the given numbers is 2 x 2 x 180 x 71 x 421 = 21521520

Least Common Multiple of 720,284,421 with GCF Formula

Least Common Multiple of 720,284,421 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 720,284,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,284,421) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(720,284,421) x common factors =1 x 4 = 4

LCM(720,284,421) = ( 720 × 284 × 421 ) / 4

LCM(720,284,421) = 86086080 / 4

LCM(720,284,421) = 21521520


Lets's calculate GCF of 610,305,540

5 610, 305, 540
122, 61, 108

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21521520/5

Therefore the LCM of Fractions 720/610,284/305,421/540 is 4304304

Greatest Common Factor of 610,305,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,305,540 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 610,305,540 . The biggest common factor number is the GCF number.
So the greatest common factor 610,305,540 is 5.


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 720/610, 284/305, 421/540

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 720/610, 284/305, 421/540?

Answer: LCM of Numerators as per given numbers 720/610, 284/305, 421/540 is

LCM of Numerators i.e. for 720,284,421 is 21521520

GCF of denominators i.e. for 610,305,540 is 5.

Thus, LCM of Fractions is 4304304.Finally, LCM of Fractions for 720/610, 284/305, 421/540 is 4304304.