Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3888/291, 9370/769 quickly i.e. 18215280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3888/291, 9370/769 is 18215280.
LCM(3888/291, 9370/769) = 18215280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3888/291,9370/769
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 3888,9370
Least Common Multiple of Numerators i.e. LCM of 3888,9370 is 18215280.
GCF of Denominators means GCF of 291,769 as per the given fractions.
GCF of 291,769 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3888,9370
2 | 3888, 9370 |
1944, 4685 |
∴ So the LCM of the given numbers is 2 x 1944 x 4685 = 18215280
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 3888,9370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3888,9370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3888,9370) x common factors =2 x 1 = 2
LCM(3888,9370) = ( 3888 × 9370 ) / 2
LCM(3888,9370) = 36430560 / 2
LCM(3888,9370) = 18215280
Lets's calculate GCF of 291,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18215280/1
Therefore the LCM of Fractions 3888/291,9370/769 is 18215280
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors 291,769 . The biggest common factor number is the GCF number.
So the greatest common factor 291,769 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 3888/291, 9370/769?
Answer: LCM of Numerators as per given numbers 3888/291, 9370/769 is
LCM of Numerators i.e. for 3888,9370 is 18215280
GCF of denominators i.e. for 291,769 is 1.
Thus, LCM of Fractions is 18215280.Finally, LCM of Fractions for 3888/291, 9370/769 is 18215280.