Least Common Multiple of 13/825, 78/191, 306/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/825, 78/191, 306/914 quickly i.e. 3978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/825, 78/191, 306/914 is 3978.

LCM(13/825, 78/191, 306/914) = 3978

LCM of 13/825, 78/191, 306/914

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 13/825,78/191,306/914

Given numbers are 13/825,78/191,306/914

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 13,78,306

Least Common Multiple of Numerators i.e. LCM of 13,78,306 is 3978.

GCF of Denominators means GCF of 825,191,914 as per the given fractions.

GCF of 825,191,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,78,306

LCM of Fractions 13/825,78/191,306/914 is 3978

2 13, 78, 306
3 13, 39, 153
13 13, 13, 51
1, 1, 51

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 51 = 3978

Least Common Multiple of 13,78,306 with GCF Formula

Least Common Multiple of 13,78,306 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 13,78,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,78,306) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(13,78,306) x common factors =1 x 78 = 78

LCM(13,78,306) = ( 13 × 78 × 306 ) / 78

LCM(13,78,306) = 310284 / 78

LCM(13,78,306) = 3978


Lets's calculate GCF of 825,191,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3978/1

Therefore the LCM of Fractions 13/825,78/191,306/914 is 3978

Greatest Common Factor of 825,191,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,191,914 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 825,191,914 . The biggest common factor number is the GCF number.
So the greatest common factor 825,191,914 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 13/825, 78/191, 306/914

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 13/825, 78/191, 306/914?

Answer: LCM of Numerators as per given numbers 13/825, 78/191, 306/914 is

LCM of Numerators i.e. for 13,78,306 is 3978

GCF of denominators i.e. for 825,191,914 is 1.

Thus, LCM of Fractions is 3978.Finally, LCM of Fractions for 13/825, 78/191, 306/914 is 3978.