Least Common Multiple of 282/368, 271/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/368, 271/434 quickly i.e. 38211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/368, 271/434 is 38211.

LCM(282/368, 271/434) = 38211

LCM of 282/368, 271/434

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 282/368,271/434

Given numbers are 282/368,271/434

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 282,271

Least Common Multiple of Numerators i.e. LCM of 282,271 is 76422.

GCF of Denominators means GCF of 368,434 as per the given fractions.

GCF of 368,434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,271

LCM of Fractions 282/368,271/434 is 38211

Given numbers has no common factors except 1. So, there LCM is their product i.e 76422

Least Common Multiple of 282,271 with GCF Formula

Least Common Multiple of 282,271 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 282,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,271) = 1

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

GCF(282,271) x common factors =1 x 1 = 1

LCM(282,271) = ( 282 × 271 ) / 1

LCM(282,271) = 76422 / 1

LCM(282,271) = 76422


Lets's calculate GCF of 368,434

2 368, 434
184, 217

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76422/2

Therefore the LCM of Fractions 282/368,271/434 is 38211

Greatest Common Factor of 368,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,434 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 368,434 . The biggest common factor number is the GCF number.
So the greatest common factor 368,434 is 2.


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 282/368, 271/434

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 282/368, 271/434?

Answer: LCM of Numerators as per given numbers 282/368, 271/434 is

LCM of Numerators i.e. for 282,271 is 76422

GCF of denominators i.e. for 368,434 is 2.

Thus, LCM of Fractions is 38211.Finally, LCM of Fractions for 282/368, 271/434 is 38211.