Least Common Multiple of 78/407, 7427/8404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/407, 7427/8404 quickly i.e. 579306/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/407, 7427/8404 is 579306/11.

LCM(78/407, 7427/8404) = 579306/11

LCM of 78/407, 7427/8404

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 78/407,7427/8404

Given numbers are 78/407,7427/8404

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 78,7427

Least Common Multiple of Numerators i.e. LCM of 78,7427 is 579306.

GCF of Denominators means GCF of 407,8404 as per the given fractions.

GCF of 407,8404 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,7427

LCM of Fractions 78/407,7427/8404 is 579306/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 579306

Least Common Multiple of 78,7427 with GCF Formula

Least Common Multiple of 78,7427 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 78,7427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7427) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(78,7427) x common factors =1 x 1 = 1

LCM(78,7427) = ( 78 × 7427 ) / 1

LCM(78,7427) = 579306 / 1

LCM(78,7427) = 579306


Lets's calculate GCF of 407,8404

11 407, 8404
37, 764

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 579306/11

Therefore the LCM of Fractions 78/407,7427/8404 is 579306/11

Greatest Common Factor of 407,8404 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,8404 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1,2,4,11,22,44,191,382,764,2101,4202,8404

Greatest Common Factor

We found the factors 407,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 407,8404 is 11.


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 78/407, 7427/8404

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 78/407, 7427/8404?

Answer: LCM of Numerators as per given numbers 78/407, 7427/8404 is

LCM of Numerators i.e. for 78,7427 is 579306

GCF of denominators i.e. for 407,8404 is 11.

Thus, LCM of Fractions is 579306/11.Finally, LCM of Fractions for 78/407, 7427/8404 is 579306/11.