Least Common Multiple of 395/60, 966/6888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/60, 966/6888 quickly i.e. 381570/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/60, 966/6888 is 381570/12.

LCM(395/60, 966/6888) = 381570/12

LCM of 395/60, 966/6888

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 395/60,966/6888

Given numbers are 395/60,966/6888

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 395,966

Least Common Multiple of Numerators i.e. LCM of 395,966 is 381570.

GCF of Denominators means GCF of 60,6888 as per the given fractions.

GCF of 60,6888 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,966

LCM of Fractions 395/60,966/6888 is 381570/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 381570

Least Common Multiple of 395,966 with GCF Formula

Least Common Multiple of 395,966 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 395,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,966) = 1

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

GCF(395,966) x common factors =1 x 1 = 1

LCM(395,966) = ( 395 × 966 ) / 1

LCM(395,966) = 381570 / 1

LCM(395,966) = 381570


Lets's calculate GCF of 60,6888

2 60, 6888
2 30, 3444
3 15, 1722
5, 574

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381570/12

Therefore the LCM of Fractions 395/60,966/6888 is 381570/12

Greatest Common Factor of 60,6888 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,6888 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 6888

List of positive integer factors of 6888 that divides 6888 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888

Greatest Common Factor

We found the factors 60,6888 . The biggest common factor number is the GCF number.
So the greatest common factor 60,6888 is 12.


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 395/60, 966/6888

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 395/60, 966/6888?

Answer: LCM of Numerators as per given numbers 395/60, 966/6888 is

LCM of Numerators i.e. for 395,966 is 381570

GCF of denominators i.e. for 60,6888 is 12.

Thus, LCM of Fractions is 381570/12.Finally, LCM of Fractions for 395/60, 966/6888 is 381570/12.