Least Common Multiple of 58/516, 1149/1323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/516, 1149/1323 quickly i.e. 22214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/516, 1149/1323 is 22214.

LCM(58/516, 1149/1323) = 22214

LCM of 58/516, 1149/1323

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 58/516,1149/1323

Given numbers are 58/516,1149/1323

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 58,1149

Least Common Multiple of Numerators i.e. LCM of 58,1149 is 66642.

GCF of Denominators means GCF of 516,1323 as per the given fractions.

GCF of 516,1323 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,1149

LCM of Fractions 58/516,1149/1323 is 22214

Given numbers has no common factors except 1. So, there LCM is their product i.e 66642

Least Common Multiple of 58,1149 with GCF Formula

Least Common Multiple of 58,1149 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 58,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,1149) = 1

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

GCF(58,1149) x common factors =1 x 1 = 1

LCM(58,1149) = ( 58 × 1149 ) / 1

LCM(58,1149) = 66642 / 1

LCM(58,1149) = 66642


Lets's calculate GCF of 516,1323

3 516, 1323
172, 441

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66642/3

Therefore the LCM of Fractions 58/516,1149/1323 is 22214

Greatest Common Factor of 516,1323 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,1323 By Matching Biggest Common Factor Method

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 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Greatest Common Factor

We found the factors 516,1323 . The biggest common factor number is the GCF number.
So the greatest common factor 516,1323 is 3.


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 58/516, 1149/1323

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 58/516, 1149/1323?

Answer: LCM of Numerators as per given numbers 58/516, 1149/1323 is

LCM of Numerators i.e. for 58,1149 is 66642

GCF of denominators i.e. for 516,1323 is 3.

Thus, LCM of Fractions is 22214.Finally, LCM of Fractions for 58/516, 1149/1323 is 22214.