Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/86, 941/60, 990/92 quickly i.e. 3260565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/86, 941/60, 990/92 is 3260565.
LCM(7/86, 941/60, 990/92) = 3260565
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/86,941/60,990/92
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 7,941,990
Least Common Multiple of Numerators i.e. LCM of 7,941,990 is 6521130.
GCF of Denominators means GCF of 86,60,92 as per the given fractions.
GCF of 86,60,92 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,941,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 6521130
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 7,941,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,941,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,941,990) x common factors =1 x 1 = 1
LCM(7,941,990) = ( 7 × 941 × 990 ) / 1
LCM(7,941,990) = 6521130 / 1
LCM(7,941,990) = 6521130
Lets's calculate GCF of 86,60,92
2 | 86, 60, 92 |
43, 30, 46 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6521130/2
Therefore the LCM of Fractions 7/86,941/60,990/92 is 3260565
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 86,60,92 . The biggest common factor number is the GCF number.
So the greatest common factor 86,60,92 is 2.
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 7/86, 941/60, 990/92?
Answer: LCM of Numerators as per given numbers 7/86, 941/60, 990/92 is
LCM of Numerators i.e. for 7,941,990 is 6521130
GCF of denominators i.e. for 86,60,92 is 2.
Thus, LCM of Fractions is 3260565.Finally, LCM of Fractions for 7/86, 941/60, 990/92 is 3260565.