Least Common Multiple of 687/282, 9718/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/282, 9718/774 quickly i.e. 1112711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/282, 9718/774 is 1112711.

LCM(687/282, 9718/774) = 1112711

LCM of 687/282, 9718/774

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 687/282,9718/774

Given numbers are 687/282,9718/774

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 687,9718

Least Common Multiple of Numerators i.e. LCM of 687,9718 is 6676266.

GCF of Denominators means GCF of 282,774 as per the given fractions.

GCF of 282,774 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,9718

LCM of Fractions 687/282,9718/774 is 1112711

Given numbers has no common factors except 1. So, there LCM is their product i.e 6676266

Least Common Multiple of 687,9718 with GCF Formula

Least Common Multiple of 687,9718 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 687,9718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,9718) = 1

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

GCF(687,9718) x common factors =1 x 1 = 1

LCM(687,9718) = ( 687 × 9718 ) / 1

LCM(687,9718) = 6676266 / 1

LCM(687,9718) = 6676266


Lets's calculate GCF of 282,774

2 282, 774
3 141, 387
47, 129

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6676266/6

Therefore the LCM of Fractions 687/282,9718/774 is 1112711

Greatest Common Factor of 282,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,774 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 282,774 . The biggest common factor number is the GCF number.
So the greatest common factor 282,774 is 6.


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 687/282, 9718/774

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 687/282, 9718/774?

Answer: LCM of Numerators as per given numbers 687/282, 9718/774 is

LCM of Numerators i.e. for 687,9718 is 6676266

GCF of denominators i.e. for 282,774 is 6.

Thus, LCM of Fractions is 1112711.Finally, LCM of Fractions for 687/282, 9718/774 is 1112711.