Least Common Multiple of 13/336, 13/943, 200/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/336, 13/943, 200/270 quickly i.e. 2600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/336, 13/943, 200/270 is 2600.

LCM(13/336, 13/943, 200/270) = 2600

LCM of 13/336, 13/943, 200/270

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 13/336,13/943,200/270

Given numbers are 13/336,13/943,200/270

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 13,13,200

Least Common Multiple of Numerators i.e. LCM of 13,13,200 is 2600.

GCF of Denominators means GCF of 336,943,270 as per the given fractions.

GCF of 336,943,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,13,200

LCM of Fractions 13/336,13/943,200/270 is 2600

13 13, 13, 200
1, 1, 200

∴ So the LCM of the given numbers is 13 x 1 x 1 x 200 = 2600

Least Common Multiple of 13,13,200 with GCF Formula

Least Common Multiple of 13,13,200 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 13,13,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,13,200) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,13,200) x common factors =1 x 13 = 13

LCM(13,13,200) = ( 13 × 13 × 200 ) / 13

LCM(13,13,200) = 33800 / 13

LCM(13,13,200) = 2600


Lets's calculate GCF of 336,943,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2600/1

Therefore the LCM of Fractions 13/336,13/943,200/270 is 2600

Greatest Common Factor of 336,943,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,943,270 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 336,943,270 . The biggest common factor number is the GCF number.
So the greatest common factor 336,943,270 is 1.


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 13/336, 13/943, 200/270

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 13/336, 13/943, 200/270?

Answer: LCM of Numerators as per given numbers 13/336, 13/943, 200/270 is

LCM of Numerators i.e. for 13,13,200 is 2600

GCF of denominators i.e. for 336,943,270 is 1.

Thus, LCM of Fractions is 2600.Finally, LCM of Fractions for 13/336, 13/943, 200/270 is 2600.