Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/32, 30/52, 710/957 quickly i.e. 91590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/32, 30/52, 710/957 is 91590.
LCM(86/32, 30/52, 710/957) = 91590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/32,30/52,710/957
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 86,30,710
Least Common Multiple of Numerators i.e. LCM of 86,30,710 is 91590.
GCF of Denominators means GCF of 32,52,957 as per the given fractions.
GCF of 32,52,957 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,30,710
2 | 86, 30, 710 |
5 | 43, 15, 355 |
43, 3, 71 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 3 x 71 = 91590
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 86,30,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,30,710) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(86,30,710) x common factors =2 x 10 = 20
LCM(86,30,710) = ( 86 × 30 × 710 ) / 20
LCM(86,30,710) = 1831800 / 20
LCM(86,30,710) = 91590
Lets's calculate GCF of 32,52,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91590/1
Therefore the LCM of Fractions 86/32,30/52,710/957 is 91590
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 32,52,957 . The biggest common factor number is the GCF number.
So the greatest common factor 32,52,957 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 86/32, 30/52, 710/957?
Answer: LCM of Numerators as per given numbers 86/32, 30/52, 710/957 is
LCM of Numerators i.e. for 86,30,710 is 91590
GCF of denominators i.e. for 32,52,957 is 1.
Thus, LCM of Fractions is 91590.Finally, LCM of Fractions for 86/32, 30/52, 710/957 is 91590.