Least Common Multiple of 101/239, 5984/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 101/239, 5984/901 quickly i.e. 604384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/239, 5984/901 is 604384.

LCM(101/239, 5984/901) = 604384

LCM of 101/239, 5984/901

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 101/239,5984/901

Given numbers are 101/239,5984/901

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 101,5984

Least Common Multiple of Numerators i.e. LCM of 101,5984 is 604384.

GCF of Denominators means GCF of 239,901 as per the given fractions.

GCF of 239,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,5984

LCM of Fractions 101/239,5984/901 is 604384

Given numbers has no common factors except 1. So, there LCM is their product i.e 604384

Least Common Multiple of 101,5984 with GCF Formula

Least Common Multiple of 101,5984 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 101,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,5984) = 1

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

GCF(101,5984) x common factors =1 x 1 = 1

LCM(101,5984) = ( 101 × 5984 ) / 1

LCM(101,5984) = 604384 / 1

LCM(101,5984) = 604384


Lets's calculate GCF of 239,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604384/1

Therefore the LCM of Fractions 101/239,5984/901 is 604384

Greatest Common Factor of 239,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,901 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 239,901 . The biggest common factor number is the GCF number.
So the greatest common factor 239,901 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 101/239, 5984/901

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 101/239, 5984/901?

Answer: LCM of Numerators as per given numbers 101/239, 5984/901 is

LCM of Numerators i.e. for 101,5984 is 604384

GCF of denominators i.e. for 239,901 is 1.

Thus, LCM of Fractions is 604384.Finally, LCM of Fractions for 101/239, 5984/901 is 604384.