Least Common Multiple of 83/42, 445/14, 732/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/42, 445/14, 732/195 quickly i.e. 27036420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/42, 445/14, 732/195 is 27036420.

LCM(83/42, 445/14, 732/195) = 27036420

LCM of 83/42, 445/14, 732/195

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 83/42,445/14,732/195

Given numbers are 83/42,445/14,732/195

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 83,445,732

Least Common Multiple of Numerators i.e. LCM of 83,445,732 is 27036420.

GCF of Denominators means GCF of 42,14,195 as per the given fractions.

GCF of 42,14,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,445,732

LCM of Fractions 83/42,445/14,732/195 is 27036420

Given numbers has no common factors except 1. So, there LCM is their product i.e 27036420

Least Common Multiple of 83,445,732 with GCF Formula

Least Common Multiple of 83,445,732 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 83,445,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,445,732) = 1

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

GCF(83,445,732) x common factors =1 x 1 = 1

LCM(83,445,732) = ( 83 × 445 × 732 ) / 1

LCM(83,445,732) = 27036420 / 1

LCM(83,445,732) = 27036420


Lets's calculate GCF of 42,14,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27036420/1

Therefore the LCM of Fractions 83/42,445/14,732/195 is 27036420

Greatest Common Factor of 42,14,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,14,195 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 42,14,195 . The biggest common factor number is the GCF number.
So the greatest common factor 42,14,195 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 83/42, 445/14, 732/195

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 83/42, 445/14, 732/195?

Answer: LCM of Numerators as per given numbers 83/42, 445/14, 732/195 is

LCM of Numerators i.e. for 83,445,732 is 27036420

GCF of denominators i.e. for 42,14,195 is 1.

Thus, LCM of Fractions is 27036420.Finally, LCM of Fractions for 83/42, 445/14, 732/195 is 27036420.