Least Common Multiple of 782/10, 105/81, 616/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/10, 105/81, 616/518 quickly i.e. 3612840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/10, 105/81, 616/518 is 3612840.

LCM(782/10, 105/81, 616/518) = 3612840

LCM of 782/10, 105/81, 616/518

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 782/10,105/81,616/518

Given numbers are 782/10,105/81,616/518

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 782,105,616

Least Common Multiple of Numerators i.e. LCM of 782,105,616 is 3612840.

GCF of Denominators means GCF of 10,81,518 as per the given fractions.

GCF of 10,81,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,105,616

LCM of Fractions 782/10,105/81,616/518 is 3612840

2 782, 105, 616
7 391, 105, 308
391, 15, 44

∴ So the LCM of the given numbers is 2 x 7 x 391 x 15 x 44 = 3612840

Least Common Multiple of 782,105,616 with GCF Formula

Least Common Multiple of 782,105,616 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 782,105,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,105,616) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(782,105,616) x common factors =1 x 14 = 14

LCM(782,105,616) = ( 782 × 105 × 616 ) / 14

LCM(782,105,616) = 50579760 / 14

LCM(782,105,616) = 3612840


Lets's calculate GCF of 10,81,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3612840/1

Therefore the LCM of Fractions 782/10,105/81,616/518 is 3612840

Greatest Common Factor of 10,81,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,81,518 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 10,81,518 . The biggest common factor number is the GCF number.
So the greatest common factor 10,81,518 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 782/10, 105/81, 616/518

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 782/10, 105/81, 616/518?

Answer: LCM of Numerators as per given numbers 782/10, 105/81, 616/518 is

LCM of Numerators i.e. for 782,105,616 is 3612840

GCF of denominators i.e. for 10,81,518 is 1.

Thus, LCM of Fractions is 3612840.Finally, LCM of Fractions for 782/10, 105/81, 616/518 is 3612840.