Least Common Multiple of 407/13, 811/33, 385/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/13, 811/33, 385/780 quickly i.e. 11552695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/13, 811/33, 385/780 is 11552695.

LCM(407/13, 811/33, 385/780) = 11552695

LCM of 407/13, 811/33, 385/780

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 407/13,811/33,385/780

Given numbers are 407/13,811/33,385/780

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 407,811,385

Least Common Multiple of Numerators i.e. LCM of 407,811,385 is 11552695.

GCF of Denominators means GCF of 13,33,780 as per the given fractions.

GCF of 13,33,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,811,385

LCM of Fractions 407/13,811/33,385/780 is 11552695

11 407, 811, 385
37, 811, 35

∴ So the LCM of the given numbers is 11 x 37 x 811 x 35 = 11552695

Least Common Multiple of 407,811,385 with GCF Formula

Least Common Multiple of 407,811,385 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 407,811,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,811,385) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(407,811,385) x common factors =1 x 11 = 11

LCM(407,811,385) = ( 407 × 811 × 385 ) / 11

LCM(407,811,385) = 127079645 / 11

LCM(407,811,385) = 11552695


Lets's calculate GCF of 13,33,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11552695/1

Therefore the LCM of Fractions 407/13,811/33,385/780 is 11552695

Greatest Common Factor of 13,33,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,33,780 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 13,33,780 . The biggest common factor number is the GCF number.
So the greatest common factor 13,33,780 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 407/13, 811/33, 385/780

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 407/13, 811/33, 385/780?

Answer: LCM of Numerators as per given numbers 407/13, 811/33, 385/780 is

LCM of Numerators i.e. for 407,811,385 is 11552695

GCF of denominators i.e. for 13,33,780 is 1.

Thus, LCM of Fractions is 11552695.Finally, LCM of Fractions for 407/13, 811/33, 385/780 is 11552695.