Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6393/187, 5604/748 quickly i.e. 11942124/187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6393/187, 5604/748 is 11942124/187.
LCM(6393/187, 5604/748) = 11942124/187
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6393/187,5604/748
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 6393,5604
Least Common Multiple of Numerators i.e. LCM of 6393,5604 is 11942124.
GCF of Denominators means GCF of 187,748 as per the given fractions.
GCF of 187,748 is 187 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6393,5604
3 | 6393, 5604 |
2131, 1868 |
∴ So the LCM of the given numbers is 3 x 2131 x 1868 = 11942124
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 6393,5604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6393,5604) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6393,5604) x common factors =3 x 1 = 3
LCM(6393,5604) = ( 6393 × 5604 ) / 3
LCM(6393,5604) = 35826372 / 3
LCM(6393,5604) = 11942124
Lets's calculate GCF of 187,748
11 | 187, 748 |
17 | 17, 68 |
1, 4 |
∴ So the GCF of the given numbers is 11 x 17 = 187
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11942124/187
Therefore the LCM of Fractions 6393/187,5604/748 is 11942124/187
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 187,748 . The biggest common factor number is the GCF number.
So the greatest common factor 187,748 is 187.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 6393/187, 5604/748?
Answer: LCM of Numerators as per given numbers 6393/187, 5604/748 is
LCM of Numerators i.e. for 6393,5604 is 11942124
GCF of denominators i.e. for 187,748 is 187.
Thus, LCM of Fractions is 11942124/187.Finally, LCM of Fractions for 6393/187, 5604/748 is 11942124/187.