Least Common Multiple of 2821/394, 1722/5162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2821/394, 1722/5162 quickly i.e. 346983 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2821/394, 1722/5162 is 346983.

LCM(2821/394, 1722/5162) = 346983

LCM of 2821/394, 1722/5162

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 2821/394,1722/5162

Given numbers are 2821/394,1722/5162

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 2821,1722

Least Common Multiple of Numerators i.e. LCM of 2821,1722 is 693966.

GCF of Denominators means GCF of 394,5162 as per the given fractions.

GCF of 394,5162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2821,1722

LCM of Fractions 2821/394,1722/5162 is 346983

7 2821, 1722
403, 246

∴ So the LCM of the given numbers is 7 x 403 x 246 = 693966

Least Common Multiple of 2821,1722 with GCF Formula

Least Common Multiple of 2821,1722 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 2821,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2821,1722) = 7

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

GCF(2821,1722) x common factors =7 x 1 = 7

LCM(2821,1722) = ( 2821 × 1722 ) / 7

LCM(2821,1722) = 4857762 / 7

LCM(2821,1722) = 693966


Lets's calculate GCF of 394,5162

2 394, 5162
197, 2581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693966/2

Therefore the LCM of Fractions 2821/394,1722/5162 is 346983

Greatest Common Factor of 394,5162 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,5162 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 5162

List of positive integer factors of 5162 that divides 5162 without a remainder.

1,2,29,58,89,178,2581,5162

Greatest Common Factor

We found the factors 394,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 394,5162 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 2821/394, 1722/5162

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 2821/394, 1722/5162?

Answer: LCM of Numerators as per given numbers 2821/394, 1722/5162 is

LCM of Numerators i.e. for 2821,1722 is 693966

GCF of denominators i.e. for 394,5162 is 2.

Thus, LCM of Fractions is 346983.Finally, LCM of Fractions for 2821/394, 1722/5162 is 346983.