Least Common Multiple of 68/715, 82/208, 487/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/715, 82/208, 487/896 quickly i.e. 1357756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/715, 82/208, 487/896 is 1357756.

LCM(68/715, 82/208, 487/896) = 1357756

LCM of 68/715, 82/208, 487/896

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 68/715,82/208,487/896

Given numbers are 68/715,82/208,487/896

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 68,82,487

Least Common Multiple of Numerators i.e. LCM of 68,82,487 is 1357756.

GCF of Denominators means GCF of 715,208,896 as per the given fractions.

GCF of 715,208,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,82,487

LCM of Fractions 68/715,82/208,487/896 is 1357756

2 68, 82, 487
34, 41, 487

∴ So the LCM of the given numbers is 2 x 34 x 41 x 487 = 1357756

Least Common Multiple of 68,82,487 with GCF Formula

Least Common Multiple of 68,82,487 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 68,82,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,82,487) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,82,487) x common factors =1 x 2 = 2

LCM(68,82,487) = ( 68 × 82 × 487 ) / 2

LCM(68,82,487) = 2715512 / 2

LCM(68,82,487) = 1357756


Lets's calculate GCF of 715,208,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1357756/1

Therefore the LCM of Fractions 68/715,82/208,487/896 is 1357756

Greatest Common Factor of 715,208,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,208,896 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 715,208,896 . The biggest common factor number is the GCF number.
So the greatest common factor 715,208,896 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 68/715, 82/208, 487/896

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 68/715, 82/208, 487/896?

Answer: LCM of Numerators as per given numbers 68/715, 82/208, 487/896 is

LCM of Numerators i.e. for 68,82,487 is 1357756

GCF of denominators i.e. for 715,208,896 is 1.

Thus, LCM of Fractions is 1357756.Finally, LCM of Fractions for 68/715, 82/208, 487/896 is 1357756.