Least Common Multiple of 201/247, 1542/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 201/247, 1542/344 quickly i.e. 103314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 201/247, 1542/344 is 103314.

LCM(201/247, 1542/344) = 103314

LCM of 201/247, 1542/344

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 201/247,1542/344

Given numbers are 201/247,1542/344

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 201,1542

Least Common Multiple of Numerators i.e. LCM of 201,1542 is 103314.

GCF of Denominators means GCF of 247,344 as per the given fractions.

GCF of 247,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 201,1542

LCM of Fractions 201/247,1542/344 is 103314

3 201, 1542
67, 514

∴ So the LCM of the given numbers is 3 x 67 x 514 = 103314

Least Common Multiple of 201,1542 with GCF Formula

Least Common Multiple of 201,1542 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 201,1542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,1542) = 3

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

GCF(201,1542) x common factors =3 x 1 = 3

LCM(201,1542) = ( 201 × 1542 ) / 3

LCM(201,1542) = 309942 / 3

LCM(201,1542) = 103314


Lets's calculate GCF of 247,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103314/1

Therefore the LCM of Fractions 201/247,1542/344 is 103314

Greatest Common Factor of 247,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,344 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 247,344 . The biggest common factor number is the GCF number.
So the greatest common factor 247,344 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 201/247, 1542/344

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 201/247, 1542/344?

Answer: LCM of Numerators as per given numbers 201/247, 1542/344 is

LCM of Numerators i.e. for 201,1542 is 103314

GCF of denominators i.e. for 247,344 is 1.

Thus, LCM of Fractions is 103314.Finally, LCM of Fractions for 201/247, 1542/344 is 103314.