Least Common Multiple of 37/82, 75/72, 71/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/82, 75/72, 71/408 quickly i.e. 197025/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/82, 75/72, 71/408 is 197025/2.

LCM(37/82, 75/72, 71/408) = 197025/2

LCM of 37/82, 75/72, 71/408

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 37/82,75/72,71/408

Given numbers are 37/82,75/72,71/408

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 37,75,71

Least Common Multiple of Numerators i.e. LCM of 37,75,71 is 197025.

GCF of Denominators means GCF of 82,72,408 as per the given fractions.

GCF of 82,72,408 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,75,71

LCM of Fractions 37/82,75/72,71/408 is 197025/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 197025

Least Common Multiple of 37,75,71 with GCF Formula

Least Common Multiple of 37,75,71 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 37,75,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,75,71) = 1

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

GCF(37,75,71) x common factors =1 x 1 = 1

LCM(37,75,71) = ( 37 × 75 × 71 ) / 1

LCM(37,75,71) = 197025 / 1

LCM(37,75,71) = 197025


Lets's calculate GCF of 82,72,408

2 82, 72, 408
41, 36, 204

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197025/2

Therefore the LCM of Fractions 37/82,75/72,71/408 is 197025/2

Greatest Common Factor of 82,72,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,72,408 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 82,72,408 . The biggest common factor number is the GCF number.
So the greatest common factor 82,72,408 is 2.


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 37/82, 75/72, 71/408

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 37/82, 75/72, 71/408?

Answer: LCM of Numerators as per given numbers 37/82, 75/72, 71/408 is

LCM of Numerators i.e. for 37,75,71 is 197025

GCF of denominators i.e. for 82,72,408 is 2.

Thus, LCM of Fractions is 197025/2.Finally, LCM of Fractions for 37/82, 75/72, 71/408 is 197025/2.