Least Common Multiple of 517/74, 622/18, 641/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/74, 622/18, 641/396 quickly i.e. 103064467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/74, 622/18, 641/396 is 103064467.

LCM(517/74, 622/18, 641/396) = 103064467

LCM of 517/74, 622/18, 641/396

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 517/74,622/18,641/396

Given numbers are 517/74,622/18,641/396

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 517,622,641

Least Common Multiple of Numerators i.e. LCM of 517,622,641 is 206128934.

GCF of Denominators means GCF of 74,18,396 as per the given fractions.

GCF of 74,18,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,622,641

LCM of Fractions 517/74,622/18,641/396 is 103064467

Given numbers has no common factors except 1. So, there LCM is their product i.e 206128934

Least Common Multiple of 517,622,641 with GCF Formula

Least Common Multiple of 517,622,641 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 517,622,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,622,641) = 1

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

GCF(517,622,641) x common factors =1 x 1 = 1

LCM(517,622,641) = ( 517 × 622 × 641 ) / 1

LCM(517,622,641) = 206128934 / 1

LCM(517,622,641) = 206128934


Lets's calculate GCF of 74,18,396

2 74, 18, 396
37, 9, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206128934/2

Therefore the LCM of Fractions 517/74,622/18,641/396 is 103064467

Greatest Common Factor of 74,18,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,18,396 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 74,18,396 . The biggest common factor number is the GCF number.
So the greatest common factor 74,18,396 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 517/74, 622/18, 641/396

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 517/74, 622/18, 641/396?

Answer: LCM of Numerators as per given numbers 517/74, 622/18, 641/396 is

LCM of Numerators i.e. for 517,622,641 is 206128934

GCF of denominators i.e. for 74,18,396 is 2.

Thus, LCM of Fractions is 103064467.Finally, LCM of Fractions for 517/74, 622/18, 641/396 is 103064467.