Least Common Multiple of 23/768, 636/804, 681/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/768, 636/804, 681/628 quickly i.e. 830139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/768, 636/804, 681/628 is 830139.

LCM(23/768, 636/804, 681/628) = 830139

LCM of 23/768, 636/804, 681/628

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 23/768,636/804,681/628

Given numbers are 23/768,636/804,681/628

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 23,636,681

Least Common Multiple of Numerators i.e. LCM of 23,636,681 is 3320556.

GCF of Denominators means GCF of 768,804,628 as per the given fractions.

GCF of 768,804,628 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,636,681

LCM of Fractions 23/768,636/804,681/628 is 830139

3 23, 636, 681
23, 212, 227

∴ So the LCM of the given numbers is 3 x 23 x 212 x 227 = 3320556

Least Common Multiple of 23,636,681 with GCF Formula

Least Common Multiple of 23,636,681 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 23,636,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,636,681) = 1

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

GCF(23,636,681) x common factors =1 x 3 = 3

LCM(23,636,681) = ( 23 × 636 × 681 ) / 3

LCM(23,636,681) = 9961668 / 3

LCM(23,636,681) = 3320556


Lets's calculate GCF of 768,804,628

2 768, 804, 628
2 384, 402, 314
192, 201, 157

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3320556/4

Therefore the LCM of Fractions 23/768,636/804,681/628 is 830139

Greatest Common Factor of 768,804,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,804,628 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 768,804,628 . The biggest common factor number is the GCF number.
So the greatest common factor 768,804,628 is 4.


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 23/768, 636/804, 681/628

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 23/768, 636/804, 681/628?

Answer: LCM of Numerators as per given numbers 23/768, 636/804, 681/628 is

LCM of Numerators i.e. for 23,636,681 is 3320556

GCF of denominators i.e. for 768,804,628 is 4.

Thus, LCM of Fractions is 830139.Finally, LCM of Fractions for 23/768, 636/804, 681/628 is 830139.