Least Common Multiple of 782/359, 575/333, 981/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/359, 575/333, 981/229 quickly i.e. 19178550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/359, 575/333, 981/229 is 19178550.

LCM(782/359, 575/333, 981/229) = 19178550

LCM of 782/359, 575/333, 981/229

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 782/359,575/333,981/229

Given numbers are 782/359,575/333,981/229

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 782,575,981

Least Common Multiple of Numerators i.e. LCM of 782,575,981 is 19178550.

GCF of Denominators means GCF of 359,333,229 as per the given fractions.

GCF of 359,333,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,575,981

LCM of Fractions 782/359,575/333,981/229 is 19178550

23 782, 575, 981
34, 25, 981

∴ So the LCM of the given numbers is 23 x 34 x 25 x 981 = 19178550

Least Common Multiple of 782,575,981 with GCF Formula

Least Common Multiple of 782,575,981 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 782,575,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,575,981) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(782,575,981) x common factors =1 x 23 = 23

LCM(782,575,981) = ( 782 × 575 × 981 ) / 23

LCM(782,575,981) = 441106650 / 23

LCM(782,575,981) = 19178550


Lets's calculate GCF of 359,333,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19178550/1

Therefore the LCM of Fractions 782/359,575/333,981/229 is 19178550

Greatest Common Factor of 359,333,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,333,229 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 359,333,229 . The biggest common factor number is the GCF number.
So the greatest common factor 359,333,229 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 782/359, 575/333, 981/229

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 782/359, 575/333, 981/229?

Answer: LCM of Numerators as per given numbers 782/359, 575/333, 981/229 is

LCM of Numerators i.e. for 782,575,981 is 19178550

GCF of denominators i.e. for 359,333,229 is 1.

Thus, LCM of Fractions is 19178550.Finally, LCM of Fractions for 782/359, 575/333, 981/229 is 19178550.