Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/88, 83/65, 57/10, 96/838 quickly i.e. 5601504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/88, 83/65, 57/10, 96/838 is 5601504.
LCM(37/88, 83/65, 57/10, 96/838) = 5601504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/88,83/65,57/10,96/838
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 37,83,57,96
Least Common Multiple of Numerators i.e. LCM of 37,83,57,96 is 5601504.
GCF of Denominators means GCF of 88,65,10,838 as per the given fractions.
GCF of 88,65,10,838 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,83,57,96
3 | 37, 83, 57, 96 |
37, 83, 19, 32 |
∴ So the LCM of the given numbers is 3 x 37 x 83 x 19 x 32 = 5601504
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 37,83,57,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,83,57,96) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(37,83,57,96) x common factors =1 x 3 = 3
LCM(37,83,57,96) = ( 37 × 83 × 57 × 96 ) / 3
LCM(37,83,57,96) = 16804512 / 3
LCM(37,83,57,96) = 5601504
Lets's calculate GCF of 88,65,10,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5601504/1
Therefore the LCM of Fractions 37/88,83/65,57/10,96/838 is 5601504
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 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 88,65,10,838 . The biggest common factor number is the GCF number.
So the greatest common factor 88,65,10,838 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 37/88, 83/65, 57/10, 96/838?
Answer: LCM of Numerators as per given numbers 37/88, 83/65, 57/10, 96/838 is
LCM of Numerators i.e. for 37,83,57,96 is 5601504
GCF of denominators i.e. for 88,65,10,838 is 1.
Thus, LCM of Fractions is 5601504.Finally, LCM of Fractions for 37/88, 83/65, 57/10, 96/838 is 5601504.