Least Common Multiple of 21/263, 22/516, 145/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/263, 22/516, 145/484 quickly i.e. 66990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/263, 22/516, 145/484 is 66990.

LCM(21/263, 22/516, 145/484) = 66990

LCM of 21/263, 22/516, 145/484

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 21/263,22/516,145/484

Given numbers are 21/263,22/516,145/484

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 21,22,145

Least Common Multiple of Numerators i.e. LCM of 21,22,145 is 66990.

GCF of Denominators means GCF of 263,516,484 as per the given fractions.

GCF of 263,516,484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,22,145

LCM of Fractions 21/263,22/516,145/484 is 66990

Given numbers has no common factors except 1. So, there LCM is their product i.e 66990

Least Common Multiple of 21,22,145 with GCF Formula

Least Common Multiple of 21,22,145 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 21,22,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,22,145) = 1

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

GCF(21,22,145) x common factors =1 x 1 = 1

LCM(21,22,145) = ( 21 × 22 × 145 ) / 1

LCM(21,22,145) = 66990 / 1

LCM(21,22,145) = 66990


Lets's calculate GCF of 263,516,484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66990/1

Therefore the LCM of Fractions 21/263,22/516,145/484 is 66990

Greatest Common Factor of 263,516,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,516,484 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 263,516,484 . The biggest common factor number is the GCF number.
So the greatest common factor 263,516,484 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 21/263, 22/516, 145/484

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 21/263, 22/516, 145/484?

Answer: LCM of Numerators as per given numbers 21/263, 22/516, 145/484 is

LCM of Numerators i.e. for 21,22,145 is 66990

GCF of denominators i.e. for 263,516,484 is 1.

Thus, LCM of Fractions is 66990.Finally, LCM of Fractions for 21/263, 22/516, 145/484 is 66990.