Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 311/92, 465/31, 573/79 quickly i.e. 27621465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 311/92, 465/31, 573/79 is 27621465.
LCM(311/92, 465/31, 573/79) = 27621465
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 311/92,465/31,573/79
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 311,465,573
Least Common Multiple of Numerators i.e. LCM of 311,465,573 is 27621465.
GCF of Denominators means GCF of 92,31,79 as per the given fractions.
GCF of 92,31,79 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 311,465,573
3 | 311, 465, 573 |
311, 155, 191 |
∴ So the LCM of the given numbers is 3 x 311 x 155 x 191 = 27621465
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 311,465,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,465,573) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(311,465,573) x common factors =1 x 3 = 3
LCM(311,465,573) = ( 311 × 465 × 573 ) / 3
LCM(311,465,573) = 82864395 / 3
LCM(311,465,573) = 27621465
Lets's calculate GCF of 92,31,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27621465/1
Therefore the LCM of Fractions 311/92,465/31,573/79 is 27621465
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 92,31,79 . The biggest common factor number is the GCF number.
So the greatest common factor 92,31,79 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 311/92, 465/31, 573/79?
Answer: LCM of Numerators as per given numbers 311/92, 465/31, 573/79 is
LCM of Numerators i.e. for 311,465,573 is 27621465
GCF of denominators i.e. for 92,31,79 is 1.
Thus, LCM of Fractions is 27621465.Finally, LCM of Fractions for 311/92, 465/31, 573/79 is 27621465.