Least Common Multiple of 515/18, 370/82, 863/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/18, 370/82, 863/392 quickly i.e. 16444465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/18, 370/82, 863/392 is 16444465.

LCM(515/18, 370/82, 863/392) = 16444465

LCM of 515/18, 370/82, 863/392

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 515/18,370/82,863/392

Given numbers are 515/18,370/82,863/392

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 515,370,863

Least Common Multiple of Numerators i.e. LCM of 515,370,863 is 32888930.

GCF of Denominators means GCF of 18,82,392 as per the given fractions.

GCF of 18,82,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,370,863

LCM of Fractions 515/18,370/82,863/392 is 16444465

5 515, 370, 863
103, 74, 863

∴ So the LCM of the given numbers is 5 x 103 x 74 x 863 = 32888930

Least Common Multiple of 515,370,863 with GCF Formula

Least Common Multiple of 515,370,863 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 515,370,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,370,863) = 1

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

GCF(515,370,863) x common factors =1 x 5 = 5

LCM(515,370,863) = ( 515 × 370 × 863 ) / 5

LCM(515,370,863) = 164444650 / 5

LCM(515,370,863) = 32888930


Lets's calculate GCF of 18,82,392

2 18, 82, 392
9, 41, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32888930/2

Therefore the LCM of Fractions 515/18,370/82,863/392 is 16444465

Greatest Common Factor of 18,82,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,82,392 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 82

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

1,2,41,82

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 18,82,392 . The biggest common factor number is the GCF number.
So the greatest common factor 18,82,392 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 515/18, 370/82, 863/392

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 515/18, 370/82, 863/392?

Answer: LCM of Numerators as per given numbers 515/18, 370/82, 863/392 is

LCM of Numerators i.e. for 515,370,863 is 32888930

GCF of denominators i.e. for 18,82,392 is 2.

Thus, LCM of Fractions is 16444465.Finally, LCM of Fractions for 515/18, 370/82, 863/392 is 16444465.