Least Common Multiple of 621/240, 849/869, 789/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 621/240, 849/869, 789/654 quickly i.e. 46220409 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 621/240, 849/869, 789/654 is 46220409.

LCM(621/240, 849/869, 789/654) = 46220409

LCM of 621/240, 849/869, 789/654

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 621/240,849/869,789/654

Given numbers are 621/240,849/869,789/654

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 621,849,789

Least Common Multiple of Numerators i.e. LCM of 621,849,789 is 46220409.

GCF of Denominators means GCF of 240,869,654 as per the given fractions.

GCF of 240,869,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 621,849,789

LCM of Fractions 621/240,849/869,789/654 is 46220409

3 621, 849, 789
207, 283, 263

∴ So the LCM of the given numbers is 3 x 207 x 283 x 263 = 46220409

Least Common Multiple of 621,849,789 with GCF Formula

Least Common Multiple of 621,849,789 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 621,849,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,849,789) = 3

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

GCF(621,849,789) x common factors =3 x 3 = 9

LCM(621,849,789) = ( 621 × 849 × 789 ) / 9

LCM(621,849,789) = 415983681 / 9

LCM(621,849,789) = 46220409


Lets's calculate GCF of 240,869,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46220409/1

Therefore the LCM of Fractions 621/240,849/869,789/654 is 46220409

Greatest Common Factor of 240,869,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,869,654 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 240,869,654 . The biggest common factor number is the GCF number.
So the greatest common factor 240,869,654 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 621/240, 849/869, 789/654

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 621/240, 849/869, 789/654?

Answer: LCM of Numerators as per given numbers 621/240, 849/869, 789/654 is

LCM of Numerators i.e. for 621,849,789 is 46220409

GCF of denominators i.e. for 240,869,654 is 1.

Thus, LCM of Fractions is 46220409.Finally, LCM of Fractions for 621/240, 849/869, 789/654 is 46220409.