Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 293/86, 844/86, 959/22 quickly i.e. 118576514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 293/86, 844/86, 959/22 is 118576514.
LCM(293/86, 844/86, 959/22) = 118576514
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 293/86,844/86,959/22
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 293,844,959
Least Common Multiple of Numerators i.e. LCM of 293,844,959 is 237153028.
GCF of Denominators means GCF of 86,86,22 as per the given fractions.
GCF of 86,86,22 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 293,844,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 237153028
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 293,844,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,844,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,844,959) x common factors =1 x 1 = 1
LCM(293,844,959) = ( 293 × 844 × 959 ) / 1
LCM(293,844,959) = 237153028 / 1
LCM(293,844,959) = 237153028
Lets's calculate GCF of 86,86,22
2 | 86, 86, 22 |
43, 43, 11 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237153028/2
Therefore the LCM of Fractions 293/86,844/86,959/22 is 118576514
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 86,86,22 . The biggest common factor number is the GCF number.
So the greatest common factor 86,86,22 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 293/86, 844/86, 959/22?
Answer: LCM of Numerators as per given numbers 293/86, 844/86, 959/22 is
LCM of Numerators i.e. for 293,844,959 is 237153028
GCF of denominators i.e. for 86,86,22 is 2.
Thus, LCM of Fractions is 118576514.Finally, LCM of Fractions for 293/86, 844/86, 959/22 is 118576514.