Least Common Multiple of 282/283, 378/207, 748/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/283, 378/207, 748/357 quickly i.e. 6644484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/283, 378/207, 748/357 is 6644484.

LCM(282/283, 378/207, 748/357) = 6644484

LCM of 282/283, 378/207, 748/357

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 282/283,378/207,748/357

Given numbers are 282/283,378/207,748/357

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 282,378,748

Least Common Multiple of Numerators i.e. LCM of 282,378,748 is 6644484.

GCF of Denominators means GCF of 283,207,357 as per the given fractions.

GCF of 283,207,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,378,748

LCM of Fractions 282/283,378/207,748/357 is 6644484

2 282, 378, 748
3 141, 189, 374
47, 63, 374

∴ So the LCM of the given numbers is 2 x 3 x 47 x 63 x 374 = 6644484

Least Common Multiple of 282,378,748 with GCF Formula

Least Common Multiple of 282,378,748 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 282,378,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,378,748) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(282,378,748) x common factors =2 x 6 = 12

LCM(282,378,748) = ( 282 × 378 × 748 ) / 12

LCM(282,378,748) = 79733808 / 12

LCM(282,378,748) = 6644484


Lets's calculate GCF of 283,207,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6644484/1

Therefore the LCM of Fractions 282/283,378/207,748/357 is 6644484

Greatest Common Factor of 283,207,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,207,357 By Matching Biggest Common Factor Method

Factors of 283

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

1,283

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 283,207,357 . The biggest common factor number is the GCF number.
So the greatest common factor 283,207,357 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 282/283, 378/207, 748/357

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 282/283, 378/207, 748/357?

Answer: LCM of Numerators as per given numbers 282/283, 378/207, 748/357 is

LCM of Numerators i.e. for 282,378,748 is 6644484

GCF of denominators i.e. for 283,207,357 is 1.

Thus, LCM of Fractions is 6644484.Finally, LCM of Fractions for 282/283, 378/207, 748/357 is 6644484.