Least Common Multiple of 213/20, 398/36, 976/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/20, 398/36, 976/380 quickly i.e. 10342428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/20, 398/36, 976/380 is 10342428.

LCM(213/20, 398/36, 976/380) = 10342428

LCM of 213/20, 398/36, 976/380

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 213/20,398/36,976/380

Given numbers are 213/20,398/36,976/380

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 213,398,976

Least Common Multiple of Numerators i.e. LCM of 213,398,976 is 41369712.

GCF of Denominators means GCF of 20,36,380 as per the given fractions.

GCF of 20,36,380 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,398,976

LCM of Fractions 213/20,398/36,976/380 is 10342428

2 213, 398, 976
213, 199, 488

∴ So the LCM of the given numbers is 2 x 213 x 199 x 488 = 41369712

Least Common Multiple of 213,398,976 with GCF Formula

Least Common Multiple of 213,398,976 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 213,398,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,398,976) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(213,398,976) x common factors =1 x 2 = 2

LCM(213,398,976) = ( 213 × 398 × 976 ) / 2

LCM(213,398,976) = 82739424 / 2

LCM(213,398,976) = 41369712


Lets's calculate GCF of 20,36,380

2 20, 36, 380
2 10, 18, 190
5, 9, 95

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41369712/4

Therefore the LCM of Fractions 213/20,398/36,976/380 is 10342428

Greatest Common Factor of 20,36,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,36,380 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 20,36,380 . The biggest common factor number is the GCF number.
So the greatest common factor 20,36,380 is 4.


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 213/20, 398/36, 976/380

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 213/20, 398/36, 976/380?

Answer: LCM of Numerators as per given numbers 213/20, 398/36, 976/380 is

LCM of Numerators i.e. for 213,398,976 is 41369712

GCF of denominators i.e. for 20,36,380 is 4.

Thus, LCM of Fractions is 10342428.Finally, LCM of Fractions for 213/20, 398/36, 976/380 is 10342428.