Least Common Multiple of 43/201, 31/725, 393/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/201, 31/725, 393/170 quickly i.e. 523869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/201, 31/725, 393/170 is 523869.

LCM(43/201, 31/725, 393/170) = 523869

LCM of 43/201, 31/725, 393/170

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 43/201,31/725,393/170

Given numbers are 43/201,31/725,393/170

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 43,31,393

Least Common Multiple of Numerators i.e. LCM of 43,31,393 is 523869.

GCF of Denominators means GCF of 201,725,170 as per the given fractions.

GCF of 201,725,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,31,393

LCM of Fractions 43/201,31/725,393/170 is 523869

Given numbers has no common factors except 1. So, there LCM is their product i.e 523869

Least Common Multiple of 43,31,393 with GCF Formula

Least Common Multiple of 43,31,393 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 43,31,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,31,393) = 1

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

GCF(43,31,393) x common factors =1 x 1 = 1

LCM(43,31,393) = ( 43 × 31 × 393 ) / 1

LCM(43,31,393) = 523869 / 1

LCM(43,31,393) = 523869


Lets's calculate GCF of 201,725,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523869/1

Therefore the LCM of Fractions 43/201,31/725,393/170 is 523869

Greatest Common Factor of 201,725,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,725,170 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 201,725,170 . The biggest common factor number is the GCF number.
So the greatest common factor 201,725,170 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 43/201, 31/725, 393/170

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 43/201, 31/725, 393/170?

Answer: LCM of Numerators as per given numbers 43/201, 31/725, 393/170 is

LCM of Numerators i.e. for 43,31,393 is 523869

GCF of denominators i.e. for 201,725,170 is 1.

Thus, LCM of Fractions is 523869.Finally, LCM of Fractions for 43/201, 31/725, 393/170 is 523869.