Least Common Multiple of 3/654, 96/766, 75/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/654, 96/766, 75/780 quickly i.e. 1200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/654, 96/766, 75/780 is 1200.

LCM(3/654, 96/766, 75/780) = 1200

LCM of 3/654, 96/766, 75/780

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 3/654,96/766,75/780

Given numbers are 3/654,96/766,75/780

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 3,96,75

Least Common Multiple of Numerators i.e. LCM of 3,96,75 is 2400.

GCF of Denominators means GCF of 654,766,780 as per the given fractions.

GCF of 654,766,780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,96,75

LCM of Fractions 3/654,96/766,75/780 is 1200

3 3, 96, 75
1, 32, 25

∴ So the LCM of the given numbers is 3 x 1 x 32 x 25 = 2400

Least Common Multiple of 3,96,75 with GCF Formula

Least Common Multiple of 3,96,75 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 3,96,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,96,75) = 3

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

GCF(3,96,75) x common factors =3 x 3 = 9

LCM(3,96,75) = ( 3 × 96 × 75 ) / 9

LCM(3,96,75) = 21600 / 9

LCM(3,96,75) = 2400


Lets's calculate GCF of 654,766,780

2 654, 766, 780
327, 383, 390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2400/2

Therefore the LCM of Fractions 3/654,96/766,75/780 is 1200

Greatest Common Factor of 654,766,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,766,780 By Matching Biggest Common Factor Method

Factors of 654

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

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

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 654,766,780 . The biggest common factor number is the GCF number.
So the greatest common factor 654,766,780 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 3/654, 96/766, 75/780

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 3/654, 96/766, 75/780?

Answer: LCM of Numerators as per given numbers 3/654, 96/766, 75/780 is

LCM of Numerators i.e. for 3,96,75 is 2400

GCF of denominators i.e. for 654,766,780 is 2.

Thus, LCM of Fractions is 1200.Finally, LCM of Fractions for 3/654, 96/766, 75/780 is 1200.