Least Common Multiple of 609/490, 480/144, 859/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/490, 480/144, 859/531 quickly i.e. 83700960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/490, 480/144, 859/531 is 83700960.

LCM(609/490, 480/144, 859/531) = 83700960

LCM of 609/490, 480/144, 859/531

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 609/490,480/144,859/531

Given numbers are 609/490,480/144,859/531

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 609,480,859

Least Common Multiple of Numerators i.e. LCM of 609,480,859 is 83700960.

GCF of Denominators means GCF of 490,144,531 as per the given fractions.

GCF of 490,144,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,480,859

LCM of Fractions 609/490,480/144,859/531 is 83700960

3 609, 480, 859
203, 160, 859

∴ So the LCM of the given numbers is 3 x 203 x 160 x 859 = 83700960

Least Common Multiple of 609,480,859 with GCF Formula

Least Common Multiple of 609,480,859 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 609,480,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,480,859) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(609,480,859) x common factors =1 x 3 = 3

LCM(609,480,859) = ( 609 × 480 × 859 ) / 3

LCM(609,480,859) = 251102880 / 3

LCM(609,480,859) = 83700960


Lets's calculate GCF of 490,144,531

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83700960/1

Therefore the LCM of Fractions 609/490,480/144,859/531 is 83700960

Greatest Common Factor of 490,144,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,144,531 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 490,144,531 . The biggest common factor number is the GCF number.
So the greatest common factor 490,144,531 is 1.


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 609/490, 480/144, 859/531

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 609/490, 480/144, 859/531?

Answer: LCM of Numerators as per given numbers 609/490, 480/144, 859/531 is

LCM of Numerators i.e. for 609,480,859 is 83700960

GCF of denominators i.e. for 490,144,531 is 1.

Thus, LCM of Fractions is 83700960.Finally, LCM of Fractions for 609/490, 480/144, 859/531 is 83700960.