Least Common Multiple of 22/290, 50/909, 213/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/290, 50/909, 213/376 quickly i.e. 117150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/290, 50/909, 213/376 is 117150.

LCM(22/290, 50/909, 213/376) = 117150

LCM of 22/290, 50/909, 213/376

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 22/290,50/909,213/376

Given numbers are 22/290,50/909,213/376

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 22,50,213

Least Common Multiple of Numerators i.e. LCM of 22,50,213 is 117150.

GCF of Denominators means GCF of 290,909,376 as per the given fractions.

GCF of 290,909,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,50,213

LCM of Fractions 22/290,50/909,213/376 is 117150

2 22, 50, 213
11, 25, 213

∴ So the LCM of the given numbers is 2 x 11 x 25 x 213 = 117150

Least Common Multiple of 22,50,213 with GCF Formula

Least Common Multiple of 22,50,213 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 22,50,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,50,213) = 1

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

GCF(22,50,213) x common factors =1 x 2 = 2

LCM(22,50,213) = ( 22 × 50 × 213 ) / 2

LCM(22,50,213) = 234300 / 2

LCM(22,50,213) = 117150


Lets's calculate GCF of 290,909,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117150/1

Therefore the LCM of Fractions 22/290,50/909,213/376 is 117150

Greatest Common Factor of 290,909,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,909,376 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 290,909,376 . The biggest common factor number is the GCF number.
So the greatest common factor 290,909,376 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 22/290, 50/909, 213/376

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 22/290, 50/909, 213/376?

Answer: LCM of Numerators as per given numbers 22/290, 50/909, 213/376 is

LCM of Numerators i.e. for 22,50,213 is 117150

GCF of denominators i.e. for 290,909,376 is 1.

Thus, LCM of Fractions is 117150.Finally, LCM of Fractions for 22/290, 50/909, 213/376 is 117150.