Least Common Multiple of 288/20, 517/34, 961/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/20, 517/34, 961/46 quickly i.e. 71544528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/20, 517/34, 961/46 is 71544528.

LCM(288/20, 517/34, 961/46) = 71544528

LCM of 288/20, 517/34, 961/46

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 288/20,517/34,961/46

Given numbers are 288/20,517/34,961/46

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 288,517,961

Least Common Multiple of Numerators i.e. LCM of 288,517,961 is 143089056.

GCF of Denominators means GCF of 20,34,46 as per the given fractions.

GCF of 20,34,46 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,517,961

LCM of Fractions 288/20,517/34,961/46 is 71544528

Given numbers has no common factors except 1. So, there LCM is their product i.e 143089056

Least Common Multiple of 288,517,961 with GCF Formula

Least Common Multiple of 288,517,961 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 288,517,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,517,961) = 1

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

GCF(288,517,961) x common factors =1 x 1 = 1

LCM(288,517,961) = ( 288 × 517 × 961 ) / 1

LCM(288,517,961) = 143089056 / 1

LCM(288,517,961) = 143089056


Lets's calculate GCF of 20,34,46

2 20, 34, 46
10, 17, 23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143089056/2

Therefore the LCM of Fractions 288/20,517/34,961/46 is 71544528

Greatest Common Factor of 20,34,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,34,46 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 34

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

1,2,17,34

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 20,34,46 . The biggest common factor number is the GCF number.
So the greatest common factor 20,34,46 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 288/20, 517/34, 961/46

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 288/20, 517/34, 961/46?

Answer: LCM of Numerators as per given numbers 288/20, 517/34, 961/46 is

LCM of Numerators i.e. for 288,517,961 is 143089056

GCF of denominators i.e. for 20,34,46 is 2.

Thus, LCM of Fractions is 71544528.Finally, LCM of Fractions for 288/20, 517/34, 961/46 is 71544528.