Least Common Multiple of 18/272, 78/835, 313/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/272, 78/835, 313/573 quickly i.e. 73242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/272, 78/835, 313/573 is 73242.

LCM(18/272, 78/835, 313/573) = 73242

LCM of 18/272, 78/835, 313/573

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 18/272,78/835,313/573

Given numbers are 18/272,78/835,313/573

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 18,78,313

Least Common Multiple of Numerators i.e. LCM of 18,78,313 is 73242.

GCF of Denominators means GCF of 272,835,573 as per the given fractions.

GCF of 272,835,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,78,313

LCM of Fractions 18/272,78/835,313/573 is 73242

2 18, 78, 313
3 9, 39, 313
3, 13, 313

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 313 = 73242

Least Common Multiple of 18,78,313 with GCF Formula

Least Common Multiple of 18,78,313 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 18,78,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,78,313) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,78,313) x common factors =1 x 6 = 6

LCM(18,78,313) = ( 18 × 78 × 313 ) / 6

LCM(18,78,313) = 439452 / 6

LCM(18,78,313) = 73242


Lets's calculate GCF of 272,835,573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73242/1

Therefore the LCM of Fractions 18/272,78/835,313/573 is 73242

Greatest Common Factor of 272,835,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,835,573 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 272,835,573 . The biggest common factor number is the GCF number.
So the greatest common factor 272,835,573 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 18/272, 78/835, 313/573

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 18/272, 78/835, 313/573?

Answer: LCM of Numerators as per given numbers 18/272, 78/835, 313/573 is

LCM of Numerators i.e. for 18,78,313 is 73242

GCF of denominators i.e. for 272,835,573 is 1.

Thus, LCM of Fractions is 73242.Finally, LCM of Fractions for 18/272, 78/835, 313/573 is 73242.