Least Common Multiple of 213/613, 424/594, 994/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/613, 424/594, 994/371 quickly i.e. 632184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/613, 424/594, 994/371 is 632184.

LCM(213/613, 424/594, 994/371) = 632184

LCM of 213/613, 424/594, 994/371

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 213/613,424/594,994/371

Given numbers are 213/613,424/594,994/371

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 213,424,994

Least Common Multiple of Numerators i.e. LCM of 213,424,994 is 632184.

GCF of Denominators means GCF of 613,594,371 as per the given fractions.

GCF of 613,594,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,424,994

LCM of Fractions 213/613,424/594,994/371 is 632184

2 213, 424, 994
71 213, 212, 497
3, 212, 7

∴ So the LCM of the given numbers is 2 x 71 x 3 x 212 x 7 = 632184

Least Common Multiple of 213,424,994 with GCF Formula

Least Common Multiple of 213,424,994 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 213,424,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,424,994) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(213,424,994) x common factors =1 x 142 = 142

LCM(213,424,994) = ( 213 × 424 × 994 ) / 142

LCM(213,424,994) = 89770128 / 142

LCM(213,424,994) = 632184


Lets's calculate GCF of 613,594,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 632184/1

Therefore the LCM of Fractions 213/613,424/594,994/371 is 632184

Greatest Common Factor of 613,594,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,594,371 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 613,594,371 . The biggest common factor number is the GCF number.
So the greatest common factor 613,594,371 is 1.


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 213/613, 424/594, 994/371

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 213/613, 424/594, 994/371?

Answer: LCM of Numerators as per given numbers 213/613, 424/594, 994/371 is

LCM of Numerators i.e. for 213,424,994 is 632184

GCF of denominators i.e. for 613,594,371 is 1.

Thus, LCM of Fractions is 632184.Finally, LCM of Fractions for 213/613, 424/594, 994/371 is 632184.