Least Common Multiple of 68/255, 705/315, 472/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/255, 705/315, 472/783 quickly i.e. 1885640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/255, 705/315, 472/783 is 1885640.

LCM(68/255, 705/315, 472/783) = 1885640

LCM of 68/255, 705/315, 472/783

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 68/255,705/315,472/783

Given numbers are 68/255,705/315,472/783

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 68,705,472

Least Common Multiple of Numerators i.e. LCM of 68,705,472 is 5656920.

GCF of Denominators means GCF of 255,315,783 as per the given fractions.

GCF of 255,315,783 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,705,472

LCM of Fractions 68/255,705/315,472/783 is 1885640

2 68, 705, 472
2 34, 705, 236
17, 705, 118

∴ So the LCM of the given numbers is 2 x 2 x 17 x 705 x 118 = 5656920

Least Common Multiple of 68,705,472 with GCF Formula

Least Common Multiple of 68,705,472 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 68,705,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,705,472) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,705,472) x common factors =1 x 4 = 4

LCM(68,705,472) = ( 68 × 705 × 472 ) / 4

LCM(68,705,472) = 22627680 / 4

LCM(68,705,472) = 5656920


Lets's calculate GCF of 255,315,783

3 255, 315, 783
85, 105, 261

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5656920/3

Therefore the LCM of Fractions 68/255,705/315,472/783 is 1885640

Greatest Common Factor of 255,315,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,315,783 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 255,315,783 . The biggest common factor number is the GCF number.
So the greatest common factor 255,315,783 is 3.


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 68/255, 705/315, 472/783

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 68/255, 705/315, 472/783?

Answer: LCM of Numerators as per given numbers 68/255, 705/315, 472/783 is

LCM of Numerators i.e. for 68,705,472 is 5656920

GCF of denominators i.e. for 255,315,783 is 3.

Thus, LCM of Fractions is 1885640.Finally, LCM of Fractions for 68/255, 705/315, 472/783 is 1885640.