Least Common Multiple of 83/37, 47/29, 96/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/37, 47/29, 96/186 quickly i.e. 374496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/37, 47/29, 96/186 is 374496.

LCM(83/37, 47/29, 96/186) = 374496

LCM of 83/37, 47/29, 96/186

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 83/37,47/29,96/186

Given numbers are 83/37,47/29,96/186

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 83,47,96

Least Common Multiple of Numerators i.e. LCM of 83,47,96 is 374496.

GCF of Denominators means GCF of 37,29,186 as per the given fractions.

GCF of 37,29,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,47,96

LCM of Fractions 83/37,47/29,96/186 is 374496

Given numbers has no common factors except 1. So, there LCM is their product i.e 374496

Least Common Multiple of 83,47,96 with GCF Formula

Least Common Multiple of 83,47,96 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 83,47,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,47,96) = 1

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

GCF(83,47,96) x common factors =1 x 1 = 1

LCM(83,47,96) = ( 83 × 47 × 96 ) / 1

LCM(83,47,96) = 374496 / 1

LCM(83,47,96) = 374496


Lets's calculate GCF of 37,29,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374496/1

Therefore the LCM of Fractions 83/37,47/29,96/186 is 374496

Greatest Common Factor of 37,29,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,29,186 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 37,29,186 . The biggest common factor number is the GCF number.
So the greatest common factor 37,29,186 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/37, 47/29, 96/186

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 83/37, 47/29, 96/186?

Answer: LCM of Numerators as per given numbers 83/37, 47/29, 96/186 is

LCM of Numerators i.e. for 83,47,96 is 374496

GCF of denominators i.e. for 37,29,186 is 1.

Thus, LCM of Fractions is 374496.Finally, LCM of Fractions for 83/37, 47/29, 96/186 is 374496.