Least Common Multiple of 78/775, 11/927, 810/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/775, 11/927, 810/234 quickly i.e. 115830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/775, 11/927, 810/234 is 115830.

LCM(78/775, 11/927, 810/234) = 115830

LCM of 78/775, 11/927, 810/234

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 78/775,11/927,810/234

Given numbers are 78/775,11/927,810/234

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 78,11,810

Least Common Multiple of Numerators i.e. LCM of 78,11,810 is 115830.

GCF of Denominators means GCF of 775,927,234 as per the given fractions.

GCF of 775,927,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,11,810

LCM of Fractions 78/775,11/927,810/234 is 115830

2 78, 11, 810
3 39, 11, 405
13, 11, 135

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 135 = 115830

Least Common Multiple of 78,11,810 with GCF Formula

Least Common Multiple of 78,11,810 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 78,11,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,11,810) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,11,810) x common factors =1 x 6 = 6

LCM(78,11,810) = ( 78 × 11 × 810 ) / 6

LCM(78,11,810) = 694980 / 6

LCM(78,11,810) = 115830


Lets's calculate GCF of 775,927,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115830/1

Therefore the LCM of Fractions 78/775,11/927,810/234 is 115830

Greatest Common Factor of 775,927,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,927,234 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 775,927,234 . The biggest common factor number is the GCF number.
So the greatest common factor 775,927,234 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 78/775, 11/927, 810/234

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 78/775, 11/927, 810/234?

Answer: LCM of Numerators as per given numbers 78/775, 11/927, 810/234 is

LCM of Numerators i.e. for 78,11,810 is 115830

GCF of denominators i.e. for 775,927,234 is 1.

Thus, LCM of Fractions is 115830.Finally, LCM of Fractions for 78/775, 11/927, 810/234 is 115830.