Least Common Multiple of 849/981, 216/339, 359/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/981, 216/339, 359/596 quickly i.e. 21944952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/981, 216/339, 359/596 is 21944952.

LCM(849/981, 216/339, 359/596) = 21944952

LCM of 849/981, 216/339, 359/596

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 849/981,216/339,359/596

Given numbers are 849/981,216/339,359/596

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 849,216,359

Least Common Multiple of Numerators i.e. LCM of 849,216,359 is 21944952.

GCF of Denominators means GCF of 981,339,596 as per the given fractions.

GCF of 981,339,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,216,359

LCM of Fractions 849/981,216/339,359/596 is 21944952

3 849, 216, 359
283, 72, 359

∴ So the LCM of the given numbers is 3 x 283 x 72 x 359 = 21944952

Least Common Multiple of 849,216,359 with GCF Formula

Least Common Multiple of 849,216,359 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 849,216,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,216,359) = 1

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

GCF(849,216,359) x common factors =1 x 3 = 3

LCM(849,216,359) = ( 849 × 216 × 359 ) / 3

LCM(849,216,359) = 65834856 / 3

LCM(849,216,359) = 21944952


Lets's calculate GCF of 981,339,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21944952/1

Therefore the LCM of Fractions 849/981,216/339,359/596 is 21944952

Greatest Common Factor of 981,339,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,339,596 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 981,339,596 . The biggest common factor number is the GCF number.
So the greatest common factor 981,339,596 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 849/981, 216/339, 359/596

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 849/981, 216/339, 359/596?

Answer: LCM of Numerators as per given numbers 849/981, 216/339, 359/596 is

LCM of Numerators i.e. for 849,216,359 is 21944952

GCF of denominators i.e. for 981,339,596 is 1.

Thus, LCM of Fractions is 21944952.Finally, LCM of Fractions for 849/981, 216/339, 359/596 is 21944952.