Least Common Multiple of 570/646, 488/608, 846/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/646, 488/608, 846/540 quickly i.e. 9805140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/646, 488/608, 846/540 is 9805140.

LCM(570/646, 488/608, 846/540) = 9805140

LCM of 570/646, 488/608, 846/540

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 570/646,488/608,846/540

Given numbers are 570/646,488/608,846/540

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 570,488,846

Least Common Multiple of Numerators i.e. LCM of 570,488,846 is 19610280.

GCF of Denominators means GCF of 646,608,540 as per the given fractions.

GCF of 646,608,540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,488,846

LCM of Fractions 570/646,488/608,846/540 is 9805140

2 570, 488, 846
3 285, 244, 423
95, 244, 141

∴ So the LCM of the given numbers is 2 x 3 x 95 x 244 x 141 = 19610280

Least Common Multiple of 570,488,846 with GCF Formula

Least Common Multiple of 570,488,846 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 570,488,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,488,846) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(570,488,846) x common factors =2 x 6 = 12

LCM(570,488,846) = ( 570 × 488 × 846 ) / 12

LCM(570,488,846) = 235323360 / 12

LCM(570,488,846) = 19610280


Lets's calculate GCF of 646,608,540

2 646, 608, 540
323, 304, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19610280/2

Therefore the LCM of Fractions 570/646,488/608,846/540 is 9805140

Greatest Common Factor of 646,608,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,608,540 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

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 646,608,540 . The biggest common factor number is the GCF number.
So the greatest common factor 646,608,540 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 570/646, 488/608, 846/540

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 570/646, 488/608, 846/540?

Answer: LCM of Numerators as per given numbers 570/646, 488/608, 846/540 is

LCM of Numerators i.e. for 570,488,846 is 19610280

GCF of denominators i.e. for 646,608,540 is 2.

Thus, LCM of Fractions is 9805140.Finally, LCM of Fractions for 570/646, 488/608, 846/540 is 9805140.