Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 312/29, 279/59, 971/91 quickly i.e. 28174536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 312/29, 279/59, 971/91 is 28174536.
LCM(312/29, 279/59, 971/91) = 28174536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 312/29,279/59,971/91
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 312,279,971
Least Common Multiple of Numerators i.e. LCM of 312,279,971 is 28174536.
GCF of Denominators means GCF of 29,59,91 as per the given fractions.
GCF of 29,59,91 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 312,279,971
3 | 312, 279, 971 |
104, 93, 971 |
∴ So the LCM of the given numbers is 3 x 104 x 93 x 971 = 28174536
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 312,279,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,279,971) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(312,279,971) x common factors =1 x 3 = 3
LCM(312,279,971) = ( 312 × 279 × 971 ) / 3
LCM(312,279,971) = 84523608 / 3
LCM(312,279,971) = 28174536
Lets's calculate GCF of 29,59,91
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28174536/1
Therefore the LCM of Fractions 312/29,279/59,971/91 is 28174536
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Greatest Common Factor
We found the factors 29,59,91 . The biggest common factor number is the GCF number.
So the greatest common factor 29,59,91 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 312/29, 279/59, 971/91?
Answer: LCM of Numerators as per given numbers 312/29, 279/59, 971/91 is
LCM of Numerators i.e. for 312,279,971 is 28174536
GCF of denominators i.e. for 29,59,91 is 1.
Thus, LCM of Fractions is 28174536.Finally, LCM of Fractions for 312/29, 279/59, 971/91 is 28174536.