Least Common Multiple of 342/27, 402/2687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/27, 402/2687 quickly i.e. 22914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/27, 402/2687 is 22914.

LCM(342/27, 402/2687) = 22914

LCM of 342/27, 402/2687

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 342/27,402/2687

Given numbers are 342/27,402/2687

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 342,402

Least Common Multiple of Numerators i.e. LCM of 342,402 is 22914.

GCF of Denominators means GCF of 27,2687 as per the given fractions.

GCF of 27,2687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,402

LCM of Fractions 342/27,402/2687 is 22914

2 342, 402
3 171, 201
57, 67

∴ So the LCM of the given numbers is 2 x 3 x 57 x 67 = 22914

Least Common Multiple of 342,402 with GCF Formula

Least Common Multiple of 342,402 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 342,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,402) = 6

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

GCF(342,402) x common factors =6 x 1 = 6

LCM(342,402) = ( 342 × 402 ) / 6

LCM(342,402) = 137484 / 6

LCM(342,402) = 22914


Lets's calculate GCF of 27,2687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22914/1

Therefore the LCM of Fractions 342/27,402/2687 is 22914

Greatest Common Factor of 27,2687 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,2687 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 2687

List of positive integer factors of 2687 that divides 2687 without a remainder.

1,2687

Greatest Common Factor

We found the factors 27,2687 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2687 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 342/27, 402/2687

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 342/27, 402/2687?

Answer: LCM of Numerators as per given numbers 342/27, 402/2687 is

LCM of Numerators i.e. for 342,402 is 22914

GCF of denominators i.e. for 27,2687 is 1.

Thus, LCM of Fractions is 22914.Finally, LCM of Fractions for 342/27, 402/2687 is 22914.