Least Common Multiple of 78/728, 26/978, 830/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/728, 26/978, 830/446 quickly i.e. 16185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/728, 26/978, 830/446 is 16185.

LCM(78/728, 26/978, 830/446) = 16185

LCM of 78/728, 26/978, 830/446

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 78/728,26/978,830/446

Given numbers are 78/728,26/978,830/446

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 78,26,830

Least Common Multiple of Numerators i.e. LCM of 78,26,830 is 32370.

GCF of Denominators means GCF of 728,978,446 as per the given fractions.

GCF of 728,978,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,26,830

LCM of Fractions 78/728,26/978,830/446 is 16185

2 78, 26, 830
13 39, 13, 415
3, 1, 415

∴ So the LCM of the given numbers is 2 x 13 x 3 x 1 x 415 = 32370

Least Common Multiple of 78,26,830 with GCF Formula

Least Common Multiple of 78,26,830 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 78,26,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,26,830) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(78,26,830) x common factors =2 x 26 = 52

LCM(78,26,830) = ( 78 × 26 × 830 ) / 52

LCM(78,26,830) = 1683240 / 52

LCM(78,26,830) = 32370


Lets's calculate GCF of 728,978,446

2 728, 978, 446
364, 489, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32370/2

Therefore the LCM of Fractions 78/728,26/978,830/446 is 16185

Greatest Common Factor of 728,978,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,978,446 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 728,978,446 . The biggest common factor number is the GCF number.
So the greatest common factor 728,978,446 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 78/728, 26/978, 830/446

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 78/728, 26/978, 830/446?

Answer: LCM of Numerators as per given numbers 78/728, 26/978, 830/446 is

LCM of Numerators i.e. for 78,26,830 is 32370

GCF of denominators i.e. for 728,978,446 is 2.

Thus, LCM of Fractions is 16185.Finally, LCM of Fractions for 78/728, 26/978, 830/446 is 16185.