Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/88, 23/19, 68/52, 83/381 quickly i.e. 1947180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/88, 23/19, 68/52, 83/381 is 1947180.
LCM(15/88, 23/19, 68/52, 83/381) = 1947180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/88,23/19,68/52,83/381
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 15,23,68,83
Least Common Multiple of Numerators i.e. LCM of 15,23,68,83 is 1947180.
GCF of Denominators means GCF of 88,19,52,381 as per the given fractions.
GCF of 88,19,52,381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,23,68,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 1947180
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 15,23,68,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,23,68,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,23,68,83) x common factors =1 x 1 = 1
LCM(15,23,68,83) = ( 15 × 23 × 68 × 83 ) / 1
LCM(15,23,68,83) = 1947180 / 1
LCM(15,23,68,83) = 1947180
Lets's calculate GCF of 88,19,52,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1947180/1
Therefore the LCM of Fractions 15/88,23/19,68/52,83/381 is 1947180
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 88,19,52,381 . The biggest common factor number is the GCF number.
So the greatest common factor 88,19,52,381 is 1.
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 15/88, 23/19, 68/52, 83/381?
Answer: LCM of Numerators as per given numbers 15/88, 23/19, 68/52, 83/381 is
LCM of Numerators i.e. for 15,23,68,83 is 1947180
GCF of denominators i.e. for 88,19,52,381 is 1.
Thus, LCM of Fractions is 1947180.Finally, LCM of Fractions for 15/88, 23/19, 68/52, 83/381 is 1947180.