Least Common Multiple of 78/11, 789/45, 255/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/11, 789/45, 255/990 quickly i.e. 1743690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/11, 789/45, 255/990 is 1743690.

LCM(78/11, 789/45, 255/990) = 1743690

LCM of 78/11, 789/45, 255/990

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 78/11,789/45,255/990

Given numbers are 78/11,789/45,255/990

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 78,789,255

Least Common Multiple of Numerators i.e. LCM of 78,789,255 is 1743690.

GCF of Denominators means GCF of 11,45,990 as per the given fractions.

GCF of 11,45,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,789,255

LCM of Fractions 78/11,789/45,255/990 is 1743690

3 78, 789, 255
26, 263, 85

∴ So the LCM of the given numbers is 3 x 26 x 263 x 85 = 1743690

Least Common Multiple of 78,789,255 with GCF Formula

Least Common Multiple of 78,789,255 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 78,789,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,789,255) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(78,789,255) x common factors =3 x 3 = 9

LCM(78,789,255) = ( 78 × 789 × 255 ) / 9

LCM(78,789,255) = 15693210 / 9

LCM(78,789,255) = 1743690


Lets's calculate GCF of 11,45,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1743690/1

Therefore the LCM of Fractions 78/11,789/45,255/990 is 1743690

Greatest Common Factor of 11,45,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,45,990 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 11,45,990 . The biggest common factor number is the GCF number.
So the greatest common factor 11,45,990 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 78/11, 789/45, 255/990

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 78/11, 789/45, 255/990?

Answer: LCM of Numerators as per given numbers 78/11, 789/45, 255/990 is

LCM of Numerators i.e. for 78,789,255 is 1743690

GCF of denominators i.e. for 11,45,990 is 1.

Thus, LCM of Fractions is 1743690.Finally, LCM of Fractions for 78/11, 789/45, 255/990 is 1743690.