Least Common Multiple of 90/929, 747/256, 301/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/929, 747/256, 301/452 quickly i.e. 2248470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/929, 747/256, 301/452 is 2248470.

LCM(90/929, 747/256, 301/452) = 2248470

LCM of 90/929, 747/256, 301/452

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 90/929,747/256,301/452

Given numbers are 90/929,747/256,301/452

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 90,747,301

Least Common Multiple of Numerators i.e. LCM of 90,747,301 is 2248470.

GCF of Denominators means GCF of 929,256,452 as per the given fractions.

GCF of 929,256,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,747,301

LCM of Fractions 90/929,747/256,301/452 is 2248470

3 90, 747, 301
3 30, 249, 301
10, 83, 301

∴ So the LCM of the given numbers is 3 x 3 x 10 x 83 x 301 = 2248470

Least Common Multiple of 90,747,301 with GCF Formula

Least Common Multiple of 90,747,301 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 90,747,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,747,301) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(90,747,301) x common factors =1 x 9 = 9

LCM(90,747,301) = ( 90 × 747 × 301 ) / 9

LCM(90,747,301) = 20236230 / 9

LCM(90,747,301) = 2248470


Lets's calculate GCF of 929,256,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2248470/1

Therefore the LCM of Fractions 90/929,747/256,301/452 is 2248470

Greatest Common Factor of 929,256,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,256,452 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 929,256,452 . The biggest common factor number is the GCF number.
So the greatest common factor 929,256,452 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/929, 747/256, 301/452

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 90/929, 747/256, 301/452?

Answer: LCM of Numerators as per given numbers 90/929, 747/256, 301/452 is

LCM of Numerators i.e. for 90,747,301 is 2248470

GCF of denominators i.e. for 929,256,452 is 1.

Thus, LCM of Fractions is 2248470.Finally, LCM of Fractions for 90/929, 747/256, 301/452 is 2248470.