Least Common Multiple of 7666/380, 3963/9348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7666/380, 3963/9348 quickly i.e. 30380358/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7666/380, 3963/9348 is 30380358/76.

LCM(7666/380, 3963/9348) = 30380358/76

LCM of 7666/380, 3963/9348

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 7666/380,3963/9348

Given numbers are 7666/380,3963/9348

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 7666,3963

Least Common Multiple of Numerators i.e. LCM of 7666,3963 is 30380358.

GCF of Denominators means GCF of 380,9348 as per the given fractions.

GCF of 380,9348 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7666,3963

LCM of Fractions 7666/380,3963/9348 is 30380358/76

Given numbers has no common factors except 1. So, there LCM is their product i.e 30380358

Least Common Multiple of 7666,3963 with GCF Formula

Least Common Multiple of 7666,3963 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 7666,3963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7666,3963) = 1

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

GCF(7666,3963) x common factors =1 x 1 = 1

LCM(7666,3963) = ( 7666 × 3963 ) / 1

LCM(7666,3963) = 30380358 / 1

LCM(7666,3963) = 30380358


Lets's calculate GCF of 380,9348

2 380, 9348
2 190, 4674
19 95, 2337
5, 123

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30380358/76

Therefore the LCM of Fractions 7666/380,3963/9348 is 30380358/76

Greatest Common Factor of 380,9348 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,9348 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 9348

List of positive integer factors of 9348 that divides 9348 without a remainder.

1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348

Greatest Common Factor

We found the factors 380,9348 . The biggest common factor number is the GCF number.
So the greatest common factor 380,9348 is 76.


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 7666/380, 3963/9348

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 7666/380, 3963/9348?

Answer: LCM of Numerators as per given numbers 7666/380, 3963/9348 is

LCM of Numerators i.e. for 7666,3963 is 30380358

GCF of denominators i.e. for 380,9348 is 76.

Thus, LCM of Fractions is 30380358/76.Finally, LCM of Fractions for 7666/380, 3963/9348 is 30380358/76.