Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/39, 56/41, 785/30 quickly i.e. 3824520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/39, 56/41, 785/30 is 3824520.
LCM(87/39, 56/41, 785/30) = 3824520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/39,56/41,785/30
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 87,56,785
Least Common Multiple of Numerators i.e. LCM of 87,56,785 is 3824520.
GCF of Denominators means GCF of 39,41,30 as per the given fractions.
GCF of 39,41,30 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,56,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 3824520
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 87,56,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,56,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,56,785) x common factors =1 x 1 = 1
LCM(87,56,785) = ( 87 × 56 × 785 ) / 1
LCM(87,56,785) = 3824520 / 1
LCM(87,56,785) = 3824520
Lets's calculate GCF of 39,41,30
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3824520/1
Therefore the LCM of Fractions 87/39,56/41,785/30 is 3824520
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Greatest Common Factor
We found the factors 39,41,30 . The biggest common factor number is the GCF number.
So the greatest common factor 39,41,30 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 87/39, 56/41, 785/30?
Answer: LCM of Numerators as per given numbers 87/39, 56/41, 785/30 is
LCM of Numerators i.e. for 87,56,785 is 3824520
GCF of denominators i.e. for 39,41,30 is 1.
Thus, LCM of Fractions is 3824520.Finally, LCM of Fractions for 87/39, 56/41, 785/30 is 3824520.