Least Common Multiple of 270/69, 846/1293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/69, 846/1293 quickly i.e. 4230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/69, 846/1293 is 4230.

LCM(270/69, 846/1293) = 4230

LCM of 270/69, 846/1293

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 270/69,846/1293

Given numbers are 270/69,846/1293

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 270,846

Least Common Multiple of Numerators i.e. LCM of 270,846 is 12690.

GCF of Denominators means GCF of 69,1293 as per the given fractions.

GCF of 69,1293 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,846

LCM of Fractions 270/69,846/1293 is 4230

2 270, 846
3 135, 423
3 45, 141
15, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 15 x 47 = 12690

Least Common Multiple of 270,846 with GCF Formula

Least Common Multiple of 270,846 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 270,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,846) = 18

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

GCF(270,846) x common factors =18 x 1 = 18

LCM(270,846) = ( 270 × 846 ) / 18

LCM(270,846) = 228420 / 18

LCM(270,846) = 12690


Lets's calculate GCF of 69,1293

3 69, 1293
23, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12690/3

Therefore the LCM of Fractions 270/69,846/1293 is 4230

Greatest Common Factor of 69,1293 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,1293 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 1293

List of positive integer factors of 1293 that divides 1293 without a remainder.

1,3,431,1293

Greatest Common Factor

We found the factors 69,1293 . The biggest common factor number is the GCF number.
So the greatest common factor 69,1293 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 270/69, 846/1293

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 270/69, 846/1293?

Answer: LCM of Numerators as per given numbers 270/69, 846/1293 is

LCM of Numerators i.e. for 270,846 is 12690

GCF of denominators i.e. for 69,1293 is 3.

Thus, LCM of Fractions is 4230.Finally, LCM of Fractions for 270/69, 846/1293 is 4230.