Least Common Multiple of 6/72, 38/428, 31/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/72, 38/428, 31/197 quickly i.e. 3534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/72, 38/428, 31/197 is 3534.

LCM(6/72, 38/428, 31/197) = 3534

LCM of 6/72, 38/428, 31/197

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 6/72,38/428,31/197

Given numbers are 6/72,38/428,31/197

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 6,38,31

Least Common Multiple of Numerators i.e. LCM of 6,38,31 is 3534.

GCF of Denominators means GCF of 72,428,197 as per the given fractions.

GCF of 72,428,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,38,31

LCM of Fractions 6/72,38/428,31/197 is 3534

2 6, 38, 31
3, 19, 31

∴ So the LCM of the given numbers is 2 x 3 x 19 x 31 = 3534

Least Common Multiple of 6,38,31 with GCF Formula

Least Common Multiple of 6,38,31 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 6,38,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,38,31) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,38,31) x common factors =1 x 2 = 2

LCM(6,38,31) = ( 6 × 38 × 31 ) / 2

LCM(6,38,31) = 7068 / 2

LCM(6,38,31) = 3534


Lets's calculate GCF of 72,428,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3534/1

Therefore the LCM of Fractions 6/72,38/428,31/197 is 3534

Greatest Common Factor of 72,428,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,428,197 By Matching Biggest Common Factor Method

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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 72,428,197 . The biggest common factor number is the GCF number.
So the greatest common factor 72,428,197 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 6/72, 38/428, 31/197

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 6/72, 38/428, 31/197?

Answer: LCM of Numerators as per given numbers 6/72, 38/428, 31/197 is

LCM of Numerators i.e. for 6,38,31 is 3534

GCF of denominators i.e. for 72,428,197 is 1.

Thus, LCM of Fractions is 3534.Finally, LCM of Fractions for 6/72, 38/428, 31/197 is 3534.