Least Common Multiple of 929/745, 383/461, 613/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 929/745, 383/461, 613/270 quickly i.e. 218109691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 929/745, 383/461, 613/270 is 218109691.

LCM(929/745, 383/461, 613/270) = 218109691

LCM of 929/745, 383/461, 613/270

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 929/745,383/461,613/270

Given numbers are 929/745,383/461,613/270

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 929,383,613

Least Common Multiple of Numerators i.e. LCM of 929,383,613 is 218109691.

GCF of Denominators means GCF of 745,461,270 as per the given fractions.

GCF of 745,461,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 929,383,613

LCM of Fractions 929/745,383/461,613/270 is 218109691

Given numbers has no common factors except 1. So, there LCM is their product i.e 218109691

Least Common Multiple of 929,383,613 with GCF Formula

Least Common Multiple of 929,383,613 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 929,383,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,383,613) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(929,383,613) x common factors =1 x 1 = 1

LCM(929,383,613) = ( 929 × 383 × 613 ) / 1

LCM(929,383,613) = 218109691 / 1

LCM(929,383,613) = 218109691


Lets's calculate GCF of 745,461,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218109691/1

Therefore the LCM of Fractions 929/745,383/461,613/270 is 218109691

Greatest Common Factor of 745,461,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,461,270 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 745,461,270 . The biggest common factor number is the GCF number.
So the greatest common factor 745,461,270 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 929/745, 383/461, 613/270

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 929/745, 383/461, 613/270?

Answer: LCM of Numerators as per given numbers 929/745, 383/461, 613/270 is

LCM of Numerators i.e. for 929,383,613 is 218109691

GCF of denominators i.e. for 745,461,270 is 1.

Thus, LCM of Fractions is 218109691.Finally, LCM of Fractions for 929/745, 383/461, 613/270 is 218109691.