Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/30, 12/91, 669/992 quickly i.e. 115068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/30, 12/91, 669/992 is 115068.
LCM(86/30, 12/91, 669/992) = 115068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/30,12/91,669/992
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 86,12,669
Least Common Multiple of Numerators i.e. LCM of 86,12,669 is 115068.
GCF of Denominators means GCF of 30,91,992 as per the given fractions.
GCF of 30,91,992 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,12,669
2 | 86, 12, 669 |
3 | 43, 6, 669 |
43, 2, 223 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 2 x 223 = 115068
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 86,12,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,12,669) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(86,12,669) x common factors =1 x 6 = 6
LCM(86,12,669) = ( 86 × 12 × 669 ) / 6
LCM(86,12,669) = 690408 / 6
LCM(86,12,669) = 115068
Lets's calculate GCF of 30,91,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115068/1
Therefore the LCM of Fractions 86/30,12/91,669/992 is 115068
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 30,91,992 . The biggest common factor number is the GCF number.
So the greatest common factor 30,91,992 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 86/30, 12/91, 669/992?
Answer: LCM of Numerators as per given numbers 86/30, 12/91, 669/992 is
LCM of Numerators i.e. for 86,12,669 is 115068
GCF of denominators i.e. for 30,91,992 is 1.
Thus, LCM of Fractions is 115068.Finally, LCM of Fractions for 86/30, 12/91, 669/992 is 115068.