Least Common Multiple of 7769/384, 7838/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7769/384, 7838/411 quickly i.e. 60893422/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7769/384, 7838/411 is 60893422/3.

LCM(7769/384, 7838/411) = 60893422/3

LCM of 7769/384, 7838/411

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 7769/384,7838/411

Given numbers are 7769/384,7838/411

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 7769,7838

Least Common Multiple of Numerators i.e. LCM of 7769,7838 is 60893422.

GCF of Denominators means GCF of 384,411 as per the given fractions.

GCF of 384,411 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7769,7838

LCM of Fractions 7769/384,7838/411 is 60893422/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 60893422

Least Common Multiple of 7769,7838 with GCF Formula

Least Common Multiple of 7769,7838 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 7769,7838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7769,7838) = 1

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

GCF(7769,7838) x common factors =1 x 1 = 1

LCM(7769,7838) = ( 7769 × 7838 ) / 1

LCM(7769,7838) = 60893422 / 1

LCM(7769,7838) = 60893422


Lets's calculate GCF of 384,411

3 384, 411
128, 137

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60893422/3

Therefore the LCM of Fractions 7769/384,7838/411 is 60893422/3

Greatest Common Factor of 384,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,411 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 384,411 . The biggest common factor number is the GCF number.
So the greatest common factor 384,411 is 3.


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 7769/384, 7838/411

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 7769/384, 7838/411?

Answer: LCM of Numerators as per given numbers 7769/384, 7838/411 is

LCM of Numerators i.e. for 7769,7838 is 60893422

GCF of denominators i.e. for 384,411 is 3.

Thus, LCM of Fractions is 60893422/3.Finally, LCM of Fractions for 7769/384, 7838/411 is 60893422/3.