Least Common Multiple of 282/751, 188/403, 431/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/751, 188/403, 431/126 quickly i.e. 243084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/751, 188/403, 431/126 is 243084.

LCM(282/751, 188/403, 431/126) = 243084

LCM of 282/751, 188/403, 431/126

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 282/751,188/403,431/126

Given numbers are 282/751,188/403,431/126

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 282,188,431

Least Common Multiple of Numerators i.e. LCM of 282,188,431 is 243084.

GCF of Denominators means GCF of 751,403,126 as per the given fractions.

GCF of 751,403,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,188,431

LCM of Fractions 282/751,188/403,431/126 is 243084

2 282, 188, 431
47 141, 94, 431
3, 2, 431

∴ So the LCM of the given numbers is 2 x 47 x 3 x 2 x 431 = 243084

Least Common Multiple of 282,188,431 with GCF Formula

Least Common Multiple of 282,188,431 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 282,188,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,188,431) = 1

common factors(in case of two or more numbers have common factors) = 94

GCF(282,188,431) x common factors =1 x 94 = 94

LCM(282,188,431) = ( 282 × 188 × 431 ) / 94

LCM(282,188,431) = 22849896 / 94

LCM(282,188,431) = 243084


Lets's calculate GCF of 751,403,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243084/1

Therefore the LCM of Fractions 282/751,188/403,431/126 is 243084

Greatest Common Factor of 751,403,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,403,126 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 751,403,126 . The biggest common factor number is the GCF number.
So the greatest common factor 751,403,126 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 282/751, 188/403, 431/126

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 282/751, 188/403, 431/126?

Answer: LCM of Numerators as per given numbers 282/751, 188/403, 431/126 is

LCM of Numerators i.e. for 282,188,431 is 243084

GCF of denominators i.e. for 751,403,126 is 1.

Thus, LCM of Fractions is 243084.Finally, LCM of Fractions for 282/751, 188/403, 431/126 is 243084.