Least Common Multiple of 316/52, 329/12, 293/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 316/52, 329/12, 293/198 quickly i.e. 15230726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/52, 329/12, 293/198 is 15230726.

LCM(316/52, 329/12, 293/198) = 15230726

LCM of 316/52, 329/12, 293/198

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 316/52,329/12,293/198

Given numbers are 316/52,329/12,293/198

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 316,329,293

Least Common Multiple of Numerators i.e. LCM of 316,329,293 is 30461452.

GCF of Denominators means GCF of 52,12,198 as per the given fractions.

GCF of 52,12,198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,329,293

LCM of Fractions 316/52,329/12,293/198 is 15230726

Given numbers has no common factors except 1. So, there LCM is their product i.e 30461452

Least Common Multiple of 316,329,293 with GCF Formula

Least Common Multiple of 316,329,293 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 316,329,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,329,293) = 1

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

GCF(316,329,293) x common factors =1 x 1 = 1

LCM(316,329,293) = ( 316 × 329 × 293 ) / 1

LCM(316,329,293) = 30461452 / 1

LCM(316,329,293) = 30461452


Lets's calculate GCF of 52,12,198

2 52, 12, 198
26, 6, 99

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30461452/2

Therefore the LCM of Fractions 316/52,329/12,293/198 is 15230726

Greatest Common Factor of 52,12,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,12,198 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 52,12,198 . The biggest common factor number is the GCF number.
So the greatest common factor 52,12,198 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 316/52, 329/12, 293/198

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 316/52, 329/12, 293/198?

Answer: LCM of Numerators as per given numbers 316/52, 329/12, 293/198 is

LCM of Numerators i.e. for 316,329,293 is 30461452

GCF of denominators i.e. for 52,12,198 is 2.

Thus, LCM of Fractions is 15230726.Finally, LCM of Fractions for 316/52, 329/12, 293/198 is 15230726.