Least Common Multiple of 47/34, 17/33, 26/82, 87/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/34, 17/33, 26/82, 87/288 quickly i.e. 1807338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/34, 17/33, 26/82, 87/288 is 1807338.

LCM(47/34, 17/33, 26/82, 87/288) = 1807338

LCM of 47/34, 17/33, 26/82, 87/288

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 47/34,17/33,26/82,87/288

Given numbers are 47/34,17/33,26/82,87/288

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 47,17,26,87

Least Common Multiple of Numerators i.e. LCM of 47,17,26,87 is 1807338.

GCF of Denominators means GCF of 34,33,82,288 as per the given fractions.

GCF of 34,33,82,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,17,26,87

LCM of Fractions 47/34,17/33,26/82,87/288 is 1807338

Given numbers has no common factors except 1. So, there LCM is their product i.e 1807338

Least Common Multiple of 47,17,26,87 with GCF Formula

Least Common Multiple of 47,17,26,87 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 47,17,26,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,17,26,87) = 1

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

GCF(47,17,26,87) x common factors =1 x 1 = 1

LCM(47,17,26,87) = ( 47 × 17 × 26 × 87 ) / 1

LCM(47,17,26,87) = 1807338 / 1

LCM(47,17,26,87) = 1807338


Lets's calculate GCF of 34,33,82,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1807338/1

Therefore the LCM of Fractions 47/34,17/33,26/82,87/288 is 1807338

Greatest Common Factor of 34,33,82,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,33,82,288 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 82

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

1,2,41,82

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 34,33,82,288 . The biggest common factor number is the GCF number.
So the greatest common factor 34,33,82,288 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 47/34, 17/33, 26/82, 87/288

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 47/34, 17/33, 26/82, 87/288?

Answer: LCM of Numerators as per given numbers 47/34, 17/33, 26/82, 87/288 is

LCM of Numerators i.e. for 47,17,26,87 is 1807338

GCF of denominators i.e. for 34,33,82,288 is 1.

Thus, LCM of Fractions is 1807338.Finally, LCM of Fractions for 47/34, 17/33, 26/82, 87/288 is 1807338.