Least Common Multiple of 22/50, 66/89, 38/47, 45/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/50, 66/89, 38/47, 45/318 quickly i.e. 18810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/50, 66/89, 38/47, 45/318 is 18810.

LCM(22/50, 66/89, 38/47, 45/318) = 18810

LCM of 22/50, 66/89, 38/47, 45/318

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 22/50,66/89,38/47,45/318

Given numbers are 22/50,66/89,38/47,45/318

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 22,66,38,45

Least Common Multiple of Numerators i.e. LCM of 22,66,38,45 is 18810.

GCF of Denominators means GCF of 50,89,47,318 as per the given fractions.

GCF of 50,89,47,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,66,38,45

LCM of Fractions 22/50,66/89,38/47,45/318 is 18810

2 22, 66, 38, 45
3 11, 33, 19, 45
11 11, 11, 19, 15
1, 1, 19, 15

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 1 x 19 x 15 = 18810

Least Common Multiple of 22,66,38,45 with GCF Formula

Least Common Multiple of 22,66,38,45 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 22,66,38,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,66,38,45) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(22,66,38,45) x common factors =1 x 132 = 132

LCM(22,66,38,45) = ( 22 × 66 × 38 × 45 ) / 132

LCM(22,66,38,45) = 2482920 / 132

LCM(22,66,38,45) = 18810


Lets's calculate GCF of 50,89,47,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18810/1

Therefore the LCM of Fractions 22/50,66/89,38/47,45/318 is 18810

Greatest Common Factor of 50,89,47,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,89,47,318 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 50,89,47,318 . The biggest common factor number is the GCF number.
So the greatest common factor 50,89,47,318 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 22/50, 66/89, 38/47, 45/318

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 22/50, 66/89, 38/47, 45/318?

Answer: LCM of Numerators as per given numbers 22/50, 66/89, 38/47, 45/318 is

LCM of Numerators i.e. for 22,66,38,45 is 18810

GCF of denominators i.e. for 50,89,47,318 is 1.

Thus, LCM of Fractions is 18810.Finally, LCM of Fractions for 22/50, 66/89, 38/47, 45/318 is 18810.