Least Common Multiple of 425/981, 466/768, 766/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 425/981, 466/768, 766/721 quickly i.e. 75853150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/981, 466/768, 766/721 is 75853150.

LCM(425/981, 466/768, 766/721) = 75853150

LCM of 425/981, 466/768, 766/721

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 425/981,466/768,766/721

Given numbers are 425/981,466/768,766/721

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 425,466,766

Least Common Multiple of Numerators i.e. LCM of 425,466,766 is 75853150.

GCF of Denominators means GCF of 981,768,721 as per the given fractions.

GCF of 981,768,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,466,766

LCM of Fractions 425/981,466/768,766/721 is 75853150

2 425, 466, 766
425, 233, 383

∴ So the LCM of the given numbers is 2 x 425 x 233 x 383 = 75853150

Least Common Multiple of 425,466,766 with GCF Formula

Least Common Multiple of 425,466,766 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 425,466,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,466,766) = 1

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

GCF(425,466,766) x common factors =1 x 2 = 2

LCM(425,466,766) = ( 425 × 466 × 766 ) / 2

LCM(425,466,766) = 151706300 / 2

LCM(425,466,766) = 75853150


Lets's calculate GCF of 981,768,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75853150/1

Therefore the LCM of Fractions 425/981,466/768,766/721 is 75853150

Greatest Common Factor of 981,768,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,768,721 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

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 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 981,768,721 . The biggest common factor number is the GCF number.
So the greatest common factor 981,768,721 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 425/981, 466/768, 766/721

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 425/981, 466/768, 766/721?

Answer: LCM of Numerators as per given numbers 425/981, 466/768, 766/721 is

LCM of Numerators i.e. for 425,466,766 is 75853150

GCF of denominators i.e. for 981,768,721 is 1.

Thus, LCM of Fractions is 75853150.Finally, LCM of Fractions for 425/981, 466/768, 766/721 is 75853150.