Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/267, 15/537, 217/120 quickly i.e. 28210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/267, 15/537, 217/120 is 28210.
LCM(26/267, 15/537, 217/120) = 28210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/267,15/537,217/120
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 26,15,217
Least Common Multiple of Numerators i.e. LCM of 26,15,217 is 84630.
GCF of Denominators means GCF of 267,537,120 as per the given fractions.
GCF of 267,537,120 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,15,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 84630
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 26,15,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,15,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,15,217) x common factors =1 x 1 = 1
LCM(26,15,217) = ( 26 × 15 × 217 ) / 1
LCM(26,15,217) = 84630 / 1
LCM(26,15,217) = 84630
Lets's calculate GCF of 267,537,120
3 | 267, 537, 120 |
89, 179, 40 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84630/3
Therefore the LCM of Fractions 26/267,15/537,217/120 is 28210
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 267,537,120 . The biggest common factor number is the GCF number.
So the greatest common factor 267,537,120 is 3.
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 26/267, 15/537, 217/120?
Answer: LCM of Numerators as per given numbers 26/267, 15/537, 217/120 is
LCM of Numerators i.e. for 26,15,217 is 84630
GCF of denominators i.e. for 267,537,120 is 3.
Thus, LCM of Fractions is 28210.Finally, LCM of Fractions for 26/267, 15/537, 217/120 is 28210.