Least Common Multiple of 77/638, 687/384, 730/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/638, 687/384, 730/618 quickly i.e. 19308135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/638, 687/384, 730/618 is 19308135.

LCM(77/638, 687/384, 730/618) = 19308135

LCM of 77/638, 687/384, 730/618

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 77/638,687/384,730/618

Given numbers are 77/638,687/384,730/618

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 77,687,730

Least Common Multiple of Numerators i.e. LCM of 77,687,730 is 38616270.

GCF of Denominators means GCF of 638,384,618 as per the given fractions.

GCF of 638,384,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,687,730

LCM of Fractions 77/638,687/384,730/618 is 19308135

Given numbers has no common factors except 1. So, there LCM is their product i.e 38616270

Least Common Multiple of 77,687,730 with GCF Formula

Least Common Multiple of 77,687,730 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 77,687,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,687,730) = 1

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

GCF(77,687,730) x common factors =1 x 1 = 1

LCM(77,687,730) = ( 77 × 687 × 730 ) / 1

LCM(77,687,730) = 38616270 / 1

LCM(77,687,730) = 38616270


Lets's calculate GCF of 638,384,618

2 638, 384, 618
319, 192, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38616270/2

Therefore the LCM of Fractions 77/638,687/384,730/618 is 19308135

Greatest Common Factor of 638,384,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,384,618 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 638,384,618 . The biggest common factor number is the GCF number.
So the greatest common factor 638,384,618 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 77/638, 687/384, 730/618

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 77/638, 687/384, 730/618?

Answer: LCM of Numerators as per given numbers 77/638, 687/384, 730/618 is

LCM of Numerators i.e. for 77,687,730 is 38616270

GCF of denominators i.e. for 638,384,618 is 2.

Thus, LCM of Fractions is 19308135.Finally, LCM of Fractions for 77/638, 687/384, 730/618 is 19308135.