Least Common Multiple of 652/786, 823/724, 618/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 652/786, 823/724, 618/640 quickly i.e. 82904082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 652/786, 823/724, 618/640 is 82904082.

LCM(652/786, 823/724, 618/640) = 82904082

LCM of 652/786, 823/724, 618/640

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 652/786,823/724,618/640

Given numbers are 652/786,823/724,618/640

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 652,823,618

Least Common Multiple of Numerators i.e. LCM of 652,823,618 is 165808164.

GCF of Denominators means GCF of 786,724,640 as per the given fractions.

GCF of 786,724,640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 652,823,618

LCM of Fractions 652/786,823/724,618/640 is 82904082

2 652, 823, 618
326, 823, 309

∴ So the LCM of the given numbers is 2 x 326 x 823 x 309 = 165808164

Least Common Multiple of 652,823,618 with GCF Formula

Least Common Multiple of 652,823,618 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 652,823,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,823,618) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(652,823,618) x common factors =1 x 2 = 2

LCM(652,823,618) = ( 652 × 823 × 618 ) / 2

LCM(652,823,618) = 331616328 / 2

LCM(652,823,618) = 165808164


Lets's calculate GCF of 786,724,640

2 786, 724, 640
393, 362, 320

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165808164/2

Therefore the LCM of Fractions 652/786,823/724,618/640 is 82904082

Greatest Common Factor of 786,724,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,724,640 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 786,724,640 . The biggest common factor number is the GCF number.
So the greatest common factor 786,724,640 is 2.


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 652/786, 823/724, 618/640

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 652/786, 823/724, 618/640?

Answer: LCM of Numerators as per given numbers 652/786, 823/724, 618/640 is

LCM of Numerators i.e. for 652,823,618 is 165808164

GCF of denominators i.e. for 786,724,640 is 2.

Thus, LCM of Fractions is 82904082.Finally, LCM of Fractions for 652/786, 823/724, 618/640 is 82904082.