Least Common Multiple of 590/76, 742/6638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 590/76, 742/6638 quickly i.e. 109445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 590/76, 742/6638 is 109445.

LCM(590/76, 742/6638) = 109445

LCM of 590/76, 742/6638

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 590/76,742/6638

Given numbers are 590/76,742/6638

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 590,742

Least Common Multiple of Numerators i.e. LCM of 590,742 is 218890.

GCF of Denominators means GCF of 76,6638 as per the given fractions.

GCF of 76,6638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 590,742

LCM of Fractions 590/76,742/6638 is 109445

2 590, 742
295, 371

∴ So the LCM of the given numbers is 2 x 295 x 371 = 218890

Least Common Multiple of 590,742 with GCF Formula

Least Common Multiple of 590,742 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 590,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,742) = 2

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

GCF(590,742) x common factors =2 x 1 = 2

LCM(590,742) = ( 590 × 742 ) / 2

LCM(590,742) = 437780 / 2

LCM(590,742) = 218890


Lets's calculate GCF of 76,6638

2 76, 6638
38, 3319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218890/2

Therefore the LCM of Fractions 590/76,742/6638 is 109445

Greatest Common Factor of 76,6638 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,6638 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 6638

List of positive integer factors of 6638 that divides 6638 without a remainder.

1,2,3319,6638

Greatest Common Factor

We found the factors 76,6638 . The biggest common factor number is the GCF number.
So the greatest common factor 76,6638 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 590/76, 742/6638

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 590/76, 742/6638?

Answer: LCM of Numerators as per given numbers 590/76, 742/6638 is

LCM of Numerators i.e. for 590,742 is 218890

GCF of denominators i.e. for 76,6638 is 2.

Thus, LCM of Fractions is 109445.Finally, LCM of Fractions for 590/76, 742/6638 is 109445.