Least Common Multiple of 597/855, 899/369, 660/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 597/855, 899/369, 660/810 quickly i.e. 118074660/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/855, 899/369, 660/810 is 118074660/9.

LCM(597/855, 899/369, 660/810) = 118074660/9

LCM of 597/855, 899/369, 660/810

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 597/855,899/369,660/810

Given numbers are 597/855,899/369,660/810

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 597,899,660

Least Common Multiple of Numerators i.e. LCM of 597,899,660 is 118074660.

GCF of Denominators means GCF of 855,369,810 as per the given fractions.

GCF of 855,369,810 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,899,660

LCM of Fractions 597/855,899/369,660/810 is 118074660/9

3 597, 899, 660
199, 899, 220

∴ So the LCM of the given numbers is 3 x 199 x 899 x 220 = 118074660

Least Common Multiple of 597,899,660 with GCF Formula

Least Common Multiple of 597,899,660 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 597,899,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,899,660) = 1

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

GCF(597,899,660) x common factors =1 x 3 = 3

LCM(597,899,660) = ( 597 × 899 × 660 ) / 3

LCM(597,899,660) = 354223980 / 3

LCM(597,899,660) = 118074660


Lets's calculate GCF of 855,369,810

3 855, 369, 810
3 285, 123, 270
95, 41, 90

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118074660/9

Therefore the LCM of Fractions 597/855,899/369,660/810 is 118074660/9

Greatest Common Factor of 855,369,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,369,810 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 855,369,810 . The biggest common factor number is the GCF number.
So the greatest common factor 855,369,810 is 9.


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 597/855, 899/369, 660/810

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 597/855, 899/369, 660/810?

Answer: LCM of Numerators as per given numbers 597/855, 899/369, 660/810 is

LCM of Numerators i.e. for 597,899,660 is 118074660

GCF of denominators i.e. for 855,369,810 is 9.

Thus, LCM of Fractions is 118074660/9.Finally, LCM of Fractions for 597/855, 899/369, 660/810 is 118074660/9.