Least Common Multiple of 201/39, 641/45, 516/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 201/39, 641/45, 516/358 quickly i.e. 22160652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 201/39, 641/45, 516/358 is 22160652.

LCM(201/39, 641/45, 516/358) = 22160652

LCM of 201/39, 641/45, 516/358

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 201/39,641/45,516/358

Given numbers are 201/39,641/45,516/358

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 201,641,516

Least Common Multiple of Numerators i.e. LCM of 201,641,516 is 22160652.

GCF of Denominators means GCF of 39,45,358 as per the given fractions.

GCF of 39,45,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 201,641,516

LCM of Fractions 201/39,641/45,516/358 is 22160652

3 201, 641, 516
67, 641, 172

∴ So the LCM of the given numbers is 3 x 67 x 641 x 172 = 22160652

Least Common Multiple of 201,641,516 with GCF Formula

Least Common Multiple of 201,641,516 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 201,641,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,641,516) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(201,641,516) x common factors =1 x 3 = 3

LCM(201,641,516) = ( 201 × 641 × 516 ) / 3

LCM(201,641,516) = 66481956 / 3

LCM(201,641,516) = 22160652


Lets's calculate GCF of 39,45,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22160652/1

Therefore the LCM of Fractions 201/39,641/45,516/358 is 22160652

Greatest Common Factor of 39,45,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,45,358 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 39,45,358 . The biggest common factor number is the GCF number.
So the greatest common factor 39,45,358 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 201/39, 641/45, 516/358

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 201/39, 641/45, 516/358?

Answer: LCM of Numerators as per given numbers 201/39, 641/45, 516/358 is

LCM of Numerators i.e. for 201,641,516 is 22160652

GCF of denominators i.e. for 39,45,358 is 1.

Thus, LCM of Fractions is 22160652.Finally, LCM of Fractions for 201/39, 641/45, 516/358 is 22160652.