Least Common Multiple of 281/38, 5082/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/38, 5082/704 quickly i.e. 714021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/38, 5082/704 is 714021.

LCM(281/38, 5082/704) = 714021

LCM of 281/38, 5082/704

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 281/38,5082/704

Given numbers are 281/38,5082/704

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 281,5082

Least Common Multiple of Numerators i.e. LCM of 281,5082 is 1428042.

GCF of Denominators means GCF of 38,704 as per the given fractions.

GCF of 38,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,5082

LCM of Fractions 281/38,5082/704 is 714021

Given numbers has no common factors except 1. So, there LCM is their product i.e 1428042

Least Common Multiple of 281,5082 with GCF Formula

Least Common Multiple of 281,5082 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 281,5082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,5082) = 1

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

GCF(281,5082) x common factors =1 x 1 = 1

LCM(281,5082) = ( 281 × 5082 ) / 1

LCM(281,5082) = 1428042 / 1

LCM(281,5082) = 1428042


Lets's calculate GCF of 38,704

2 38, 704
19, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428042/2

Therefore the LCM of Fractions 281/38,5082/704 is 714021

Greatest Common Factor of 38,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,704 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 38,704 . The biggest common factor number is the GCF number.
So the greatest common factor 38,704 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 281/38, 5082/704

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 281/38, 5082/704?

Answer: LCM of Numerators as per given numbers 281/38, 5082/704 is

LCM of Numerators i.e. for 281,5082 is 1428042

GCF of denominators i.e. for 38,704 is 2.

Thus, LCM of Fractions is 714021.Finally, LCM of Fractions for 281/38, 5082/704 is 714021.