Least Common Multiple of 563/494, 7840/3381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 563/494, 7840/3381 quickly i.e. 4413920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/494, 7840/3381 is 4413920.

LCM(563/494, 7840/3381) = 4413920

LCM of 563/494, 7840/3381

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 563/494,7840/3381

Given numbers are 563/494,7840/3381

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 563,7840

Least Common Multiple of Numerators i.e. LCM of 563,7840 is 4413920.

GCF of Denominators means GCF of 494,3381 as per the given fractions.

GCF of 494,3381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,7840

LCM of Fractions 563/494,7840/3381 is 4413920

Given numbers has no common factors except 1. So, there LCM is their product i.e 4413920

Least Common Multiple of 563,7840 with GCF Formula

Least Common Multiple of 563,7840 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 563,7840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,7840) = 1

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

GCF(563,7840) x common factors =1 x 1 = 1

LCM(563,7840) = ( 563 × 7840 ) / 1

LCM(563,7840) = 4413920 / 1

LCM(563,7840) = 4413920


Lets's calculate GCF of 494,3381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4413920/1

Therefore the LCM of Fractions 563/494,7840/3381 is 4413920

Greatest Common Factor of 494,3381 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,3381 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 3381

List of positive integer factors of 3381 that divides 3381 without a remainder.

1,3,7,21,23,49,69,147,161,483,1127,3381

Greatest Common Factor

We found the factors 494,3381 . The biggest common factor number is the GCF number.
So the greatest common factor 494,3381 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 563/494, 7840/3381

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 563/494, 7840/3381?

Answer: LCM of Numerators as per given numbers 563/494, 7840/3381 is

LCM of Numerators i.e. for 563,7840 is 4413920

GCF of denominators i.e. for 494,3381 is 1.

Thus, LCM of Fractions is 4413920.Finally, LCM of Fractions for 563/494, 7840/3381 is 4413920.