Least Common Multiple of 56/225, 940/667, 746/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/225, 940/667, 746/283 quickly i.e. 4908680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/225, 940/667, 746/283 is 4908680.

LCM(56/225, 940/667, 746/283) = 4908680

LCM of 56/225, 940/667, 746/283

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 56/225,940/667,746/283

Given numbers are 56/225,940/667,746/283

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 56,940,746

Least Common Multiple of Numerators i.e. LCM of 56,940,746 is 4908680.

GCF of Denominators means GCF of 225,667,283 as per the given fractions.

GCF of 225,667,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,940,746

LCM of Fractions 56/225,940/667,746/283 is 4908680

2 56, 940, 746
2 28, 470, 373
14, 235, 373

∴ So the LCM of the given numbers is 2 x 2 x 14 x 235 x 373 = 4908680

Least Common Multiple of 56,940,746 with GCF Formula

Least Common Multiple of 56,940,746 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 56,940,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,940,746) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(56,940,746) x common factors =2 x 4 = 8

LCM(56,940,746) = ( 56 × 940 × 746 ) / 8

LCM(56,940,746) = 39269440 / 8

LCM(56,940,746) = 4908680


Lets's calculate GCF of 225,667,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4908680/1

Therefore the LCM of Fractions 56/225,940/667,746/283 is 4908680

Greatest Common Factor of 225,667,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,667,283 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 225,667,283 . The biggest common factor number is the GCF number.
So the greatest common factor 225,667,283 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 56/225, 940/667, 746/283

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 56/225, 940/667, 746/283?

Answer: LCM of Numerators as per given numbers 56/225, 940/667, 746/283 is

LCM of Numerators i.e. for 56,940,746 is 4908680

GCF of denominators i.e. for 225,667,283 is 1.

Thus, LCM of Fractions is 4908680.Finally, LCM of Fractions for 56/225, 940/667, 746/283 is 4908680.