Least Common Multiple of 67/531, 428/313, 113/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/531, 428/313, 113/288 quickly i.e. 3240388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/531, 428/313, 113/288 is 3240388.

LCM(67/531, 428/313, 113/288) = 3240388

LCM of 67/531, 428/313, 113/288

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 67/531,428/313,113/288

Given numbers are 67/531,428/313,113/288

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 67,428,113

Least Common Multiple of Numerators i.e. LCM of 67,428,113 is 3240388.

GCF of Denominators means GCF of 531,313,288 as per the given fractions.

GCF of 531,313,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,428,113

LCM of Fractions 67/531,428/313,113/288 is 3240388

Given numbers has no common factors except 1. So, there LCM is their product i.e 3240388

Least Common Multiple of 67,428,113 with GCF Formula

Least Common Multiple of 67,428,113 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 67,428,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,428,113) = 1

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

GCF(67,428,113) x common factors =1 x 1 = 1

LCM(67,428,113) = ( 67 × 428 × 113 ) / 1

LCM(67,428,113) = 3240388 / 1

LCM(67,428,113) = 3240388


Lets's calculate GCF of 531,313,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3240388/1

Therefore the LCM of Fractions 67/531,428/313,113/288 is 3240388

Greatest Common Factor of 531,313,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,313,288 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 531,313,288 . The biggest common factor number is the GCF number.
So the greatest common factor 531,313,288 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 67/531, 428/313, 113/288

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 67/531, 428/313, 113/288?

Answer: LCM of Numerators as per given numbers 67/531, 428/313, 113/288 is

LCM of Numerators i.e. for 67,428,113 is 3240388

GCF of denominators i.e. for 531,313,288 is 1.

Thus, LCM of Fractions is 3240388.Finally, LCM of Fractions for 67/531, 428/313, 113/288 is 3240388.