Least Common Multiple of 71/31, 83/39, 602/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/31, 83/39, 602/144 quickly i.e. 3547586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/31, 83/39, 602/144 is 3547586.

LCM(71/31, 83/39, 602/144) = 3547586

LCM of 71/31, 83/39, 602/144

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 71/31,83/39,602/144

Given numbers are 71/31,83/39,602/144

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 71,83,602

Least Common Multiple of Numerators i.e. LCM of 71,83,602 is 3547586.

GCF of Denominators means GCF of 31,39,144 as per the given fractions.

GCF of 31,39,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,83,602

LCM of Fractions 71/31,83/39,602/144 is 3547586

Given numbers has no common factors except 1. So, there LCM is their product i.e 3547586

Least Common Multiple of 71,83,602 with GCF Formula

Least Common Multiple of 71,83,602 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 71,83,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,83,602) = 1

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

GCF(71,83,602) x common factors =1 x 1 = 1

LCM(71,83,602) = ( 71 × 83 × 602 ) / 1

LCM(71,83,602) = 3547586 / 1

LCM(71,83,602) = 3547586


Lets's calculate GCF of 31,39,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3547586/1

Therefore the LCM of Fractions 71/31,83/39,602/144 is 3547586

Greatest Common Factor of 31,39,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,39,144 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 39

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

1,3,13,39

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 31,39,144 . The biggest common factor number is the GCF number.
So the greatest common factor 31,39,144 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 71/31, 83/39, 602/144

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 71/31, 83/39, 602/144?

Answer: LCM of Numerators as per given numbers 71/31, 83/39, 602/144 is

LCM of Numerators i.e. for 71,83,602 is 3547586

GCF of denominators i.e. for 31,39,144 is 1.

Thus, LCM of Fractions is 3547586.Finally, LCM of Fractions for 71/31, 83/39, 602/144 is 3547586.