Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 267/36, 337/72, 596/946 quickly i.e. 26813742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 267/36, 337/72, 596/946 is 26813742.
LCM(267/36, 337/72, 596/946) = 26813742
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 267/36,337/72,596/946
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 267,337,596
Least Common Multiple of Numerators i.e. LCM of 267,337,596 is 53627484.
GCF of Denominators means GCF of 36,72,946 as per the given fractions.
GCF of 36,72,946 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 267,337,596
Given numbers has no common factors except 1. So, there LCM is their product i.e 53627484
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 267,337,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,337,596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,337,596) x common factors =1 x 1 = 1
LCM(267,337,596) = ( 267 × 337 × 596 ) / 1
LCM(267,337,596) = 53627484 / 1
LCM(267,337,596) = 53627484
Lets's calculate GCF of 36,72,946
2 | 36, 72, 946 |
18, 36, 473 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53627484/2
Therefore the LCM of Fractions 267/36,337/72,596/946 is 26813742
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 36,72,946 . The biggest common factor number is the GCF number.
So the greatest common factor 36,72,946 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 267/36, 337/72, 596/946?
Answer: LCM of Numerators as per given numbers 267/36, 337/72, 596/946 is
LCM of Numerators i.e. for 267,337,596 is 53627484
GCF of denominators i.e. for 36,72,946 is 2.
Thus, LCM of Fractions is 26813742.Finally, LCM of Fractions for 267/36, 337/72, 596/946 is 26813742.