Least Common Multiple of 54/83, 45/46, 21/69, 22/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/83, 45/46, 21/69, 22/401 quickly i.e. 20790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/83, 45/46, 21/69, 22/401 is 20790.

LCM(54/83, 45/46, 21/69, 22/401) = 20790

LCM of 54/83, 45/46, 21/69, 22/401

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 54/83,45/46,21/69,22/401

Given numbers are 54/83,45/46,21/69,22/401

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 54,45,21,22

Least Common Multiple of Numerators i.e. LCM of 54,45,21,22 is 20790.

GCF of Denominators means GCF of 83,46,69,401 as per the given fractions.

GCF of 83,46,69,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,45,21,22

LCM of Fractions 54/83,45/46,21/69,22/401 is 20790

2 54, 45, 21, 22
3 27, 45, 21, 11
3 9, 15, 7, 11
3, 5, 7, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 7 x 11 = 20790

Least Common Multiple of 54,45,21,22 with GCF Formula

Least Common Multiple of 54,45,21,22 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 54,45,21,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,45,21,22) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(54,45,21,22) x common factors =1 x 54 = 54

LCM(54,45,21,22) = ( 54 × 45 × 21 × 22 ) / 54

LCM(54,45,21,22) = 1122660 / 54

LCM(54,45,21,22) = 20790


Lets's calculate GCF of 83,46,69,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20790/1

Therefore the LCM of Fractions 54/83,45/46,21/69,22/401 is 20790

Greatest Common Factor of 83,46,69,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,46,69,401 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 83,46,69,401 . The biggest common factor number is the GCF number.
So the greatest common factor 83,46,69,401 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 54/83, 45/46, 21/69, 22/401

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 54/83, 45/46, 21/69, 22/401?

Answer: LCM of Numerators as per given numbers 54/83, 45/46, 21/69, 22/401 is

LCM of Numerators i.e. for 54,45,21,22 is 20790

GCF of denominators i.e. for 83,46,69,401 is 1.

Thus, LCM of Fractions is 20790.Finally, LCM of Fractions for 54/83, 45/46, 21/69, 22/401 is 20790.