Least Common Multiple of 6/82, 1/18, 9/38, 61/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/82, 1/18, 9/38, 61/364 quickly i.e. 549 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/82, 1/18, 9/38, 61/364 is 549.

LCM(6/82, 1/18, 9/38, 61/364) = 549

LCM of 6/82, 1/18, 9/38, 61/364

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 6/82,1/18,9/38,61/364

Given numbers are 6/82,1/18,9/38,61/364

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 6,1,9,61

Least Common Multiple of Numerators i.e. LCM of 6,1,9,61 is 1098.

GCF of Denominators means GCF of 82,18,38,364 as per the given fractions.

GCF of 82,18,38,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,1,9,61

LCM of Fractions 6/82,1/18,9/38,61/364 is 549

3 6, 1, 9, 61
2, 1, 3, 61

∴ So the LCM of the given numbers is 3 x 2 x 1 x 3 x 61 = 1098

Least Common Multiple of 6,1,9,61 with GCF Formula

Least Common Multiple of 6,1,9,61 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 6,1,9,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,1,9,61) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(6,1,9,61) x common factors =1 x 3 = 3

LCM(6,1,9,61) = ( 6 × 1 × 9 × 61 ) / 3

LCM(6,1,9,61) = 3294 / 3

LCM(6,1,9,61) = 1098


Lets's calculate GCF of 82,18,38,364

2 82, 18, 38, 364
41, 9, 19, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098/2

Therefore the LCM of Fractions 6/82,1/18,9/38,61/364 is 549

Greatest Common Factor of 82,18,38,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,18,38,364 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 82,18,38,364 . The biggest common factor number is the GCF number.
So the greatest common factor 82,18,38,364 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 6/82, 1/18, 9/38, 61/364

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 6/82, 1/18, 9/38, 61/364?

Answer: LCM of Numerators as per given numbers 6/82, 1/18, 9/38, 61/364 is

LCM of Numerators i.e. for 6,1,9,61 is 1098

GCF of denominators i.e. for 82,18,38,364 is 2.

Thus, LCM of Fractions is 549.Finally, LCM of Fractions for 6/82, 1/18, 9/38, 61/364 is 549.