Least Common Multiple of 115/84, 160/54, 523/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 115/84, 160/54, 523/517 quickly i.e. 1924640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/84, 160/54, 523/517 is 1924640.

LCM(115/84, 160/54, 523/517) = 1924640

LCM of 115/84, 160/54, 523/517

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 115/84,160/54,523/517

Given numbers are 115/84,160/54,523/517

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 115,160,523

Least Common Multiple of Numerators i.e. LCM of 115,160,523 is 1924640.

GCF of Denominators means GCF of 84,54,517 as per the given fractions.

GCF of 84,54,517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,160,523

LCM of Fractions 115/84,160/54,523/517 is 1924640

5 115, 160, 523
23, 32, 523

∴ So the LCM of the given numbers is 5 x 23 x 32 x 523 = 1924640

Least Common Multiple of 115,160,523 with GCF Formula

Least Common Multiple of 115,160,523 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 115,160,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,160,523) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(115,160,523) x common factors =1 x 5 = 5

LCM(115,160,523) = ( 115 × 160 × 523 ) / 5

LCM(115,160,523) = 9623200 / 5

LCM(115,160,523) = 1924640


Lets's calculate GCF of 84,54,517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1924640/1

Therefore the LCM of Fractions 115/84,160/54,523/517 is 1924640

Greatest Common Factor of 84,54,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,54,517 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 84,54,517 . The biggest common factor number is the GCF number.
So the greatest common factor 84,54,517 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 115/84, 160/54, 523/517

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 115/84, 160/54, 523/517?

Answer: LCM of Numerators as per given numbers 115/84, 160/54, 523/517 is

LCM of Numerators i.e. for 115,160,523 is 1924640

GCF of denominators i.e. for 84,54,517 is 1.

Thus, LCM of Fractions is 1924640.Finally, LCM of Fractions for 115/84, 160/54, 523/517 is 1924640.