Least Common Multiple of 22/147, 3122/2093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/147, 3122/2093 quickly i.e. 4906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/147, 3122/2093 is 4906.

LCM(22/147, 3122/2093) = 4906

LCM of 22/147, 3122/2093

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 22/147,3122/2093

Given numbers are 22/147,3122/2093

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 22,3122

Least Common Multiple of Numerators i.e. LCM of 22,3122 is 34342.

GCF of Denominators means GCF of 147,2093 as per the given fractions.

GCF of 147,2093 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,3122

LCM of Fractions 22/147,3122/2093 is 4906

2 22, 3122
11, 1561

∴ So the LCM of the given numbers is 2 x 11 x 1561 = 34342

Least Common Multiple of 22,3122 with GCF Formula

Least Common Multiple of 22,3122 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 22,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,3122) = 2

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

GCF(22,3122) x common factors =2 x 1 = 2

LCM(22,3122) = ( 22 × 3122 ) / 2

LCM(22,3122) = 68684 / 2

LCM(22,3122) = 34342


Lets's calculate GCF of 147,2093

7 147, 2093
21, 299

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34342/7

Therefore the LCM of Fractions 22/147,3122/2093 is 4906

Greatest Common Factor of 147,2093 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,2093 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 2093

List of positive integer factors of 2093 that divides 2093 without a remainder.

1,7,13,23,91,161,299,2093

Greatest Common Factor

We found the factors 147,2093 . The biggest common factor number is the GCF number.
So the greatest common factor 147,2093 is 7.


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 22/147, 3122/2093

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 22/147, 3122/2093?

Answer: LCM of Numerators as per given numbers 22/147, 3122/2093 is

LCM of Numerators i.e. for 22,3122 is 34342

GCF of denominators i.e. for 147,2093 is 7.

Thus, LCM of Fractions is 4906.Finally, LCM of Fractions for 22/147, 3122/2093 is 4906.