Least Common Multiple of 47/68, 63/82, 94/47, 15/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/68, 63/82, 94/47, 15/242 quickly i.e. 29610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/68, 63/82, 94/47, 15/242 is 29610.

LCM(47/68, 63/82, 94/47, 15/242) = 29610

LCM of 47/68, 63/82, 94/47, 15/242

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 47/68,63/82,94/47,15/242

Given numbers are 47/68,63/82,94/47,15/242

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 47,63,94,15

Least Common Multiple of Numerators i.e. LCM of 47,63,94,15 is 29610.

GCF of Denominators means GCF of 68,82,47,242 as per the given fractions.

GCF of 68,82,47,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,63,94,15

LCM of Fractions 47/68,63/82,94/47,15/242 is 29610

3 47, 63, 94, 15
47 47, 21, 94, 5
1, 21, 2, 5

∴ So the LCM of the given numbers is 3 x 47 x 1 x 21 x 2 x 5 = 29610

Least Common Multiple of 47,63,94,15 with GCF Formula

Least Common Multiple of 47,63,94,15 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 47,63,94,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,63,94,15) = 1

common factors(in case of two or more numbers have common factors) = 141

GCF(47,63,94,15) x common factors =1 x 141 = 141

LCM(47,63,94,15) = ( 47 × 63 × 94 × 15 ) / 141

LCM(47,63,94,15) = 4175010 / 141

LCM(47,63,94,15) = 29610


Lets's calculate GCF of 68,82,47,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29610/1

Therefore the LCM of Fractions 47/68,63/82,94/47,15/242 is 29610

Greatest Common Factor of 68,82,47,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,82,47,242 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 82

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

1,2,41,82

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 68,82,47,242 . The biggest common factor number is the GCF number.
So the greatest common factor 68,82,47,242 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 47/68, 63/82, 94/47, 15/242

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 47/68, 63/82, 94/47, 15/242?

Answer: LCM of Numerators as per given numbers 47/68, 63/82, 94/47, 15/242 is

LCM of Numerators i.e. for 47,63,94,15 is 29610

GCF of denominators i.e. for 68,82,47,242 is 1.

Thus, LCM of Fractions is 29610.Finally, LCM of Fractions for 47/68, 63/82, 94/47, 15/242 is 29610.