Least Common Multiple of 7391/438, 3082/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7391/438, 3082/822 quickly i.e. 22779062/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7391/438, 3082/822 is 22779062/6.

LCM(7391/438, 3082/822) = 22779062/6

LCM of 7391/438, 3082/822

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 7391/438,3082/822

Given numbers are 7391/438,3082/822

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 7391,3082

Least Common Multiple of Numerators i.e. LCM of 7391,3082 is 22779062.

GCF of Denominators means GCF of 438,822 as per the given fractions.

GCF of 438,822 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7391,3082

LCM of Fractions 7391/438,3082/822 is 22779062/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 22779062

Least Common Multiple of 7391,3082 with GCF Formula

Least Common Multiple of 7391,3082 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 7391,3082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7391,3082) = 1

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

GCF(7391,3082) x common factors =1 x 1 = 1

LCM(7391,3082) = ( 7391 × 3082 ) / 1

LCM(7391,3082) = 22779062 / 1

LCM(7391,3082) = 22779062


Lets's calculate GCF of 438,822

2 438, 822
3 219, 411
73, 137

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22779062/6

Therefore the LCM of Fractions 7391/438,3082/822 is 22779062/6

Greatest Common Factor of 438,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,822 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 438,822 . The biggest common factor number is the GCF number.
So the greatest common factor 438,822 is 6.


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 7391/438, 3082/822

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 7391/438, 3082/822?

Answer: LCM of Numerators as per given numbers 7391/438, 3082/822 is

LCM of Numerators i.e. for 7391,3082 is 22779062

GCF of denominators i.e. for 438,822 is 6.

Thus, LCM of Fractions is 22779062/6.Finally, LCM of Fractions for 7391/438, 3082/822 is 22779062/6.