Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/133, 45/827, 531/244 quickly i.e. 177885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/133, 45/827, 531/244 is 177885.
LCM(67/133, 45/827, 531/244) = 177885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/133,45/827,531/244
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 67,45,531
Least Common Multiple of Numerators i.e. LCM of 67,45,531 is 177885.
GCF of Denominators means GCF of 133,827,244 as per the given fractions.
GCF of 133,827,244 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,45,531
3 | 67, 45, 531 |
3 | 67, 15, 177 |
67, 5, 59 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 5 x 59 = 177885
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 67,45,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,45,531) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(67,45,531) x common factors =1 x 9 = 9
LCM(67,45,531) = ( 67 × 45 × 531 ) / 9
LCM(67,45,531) = 1600965 / 9
LCM(67,45,531) = 177885
Lets's calculate GCF of 133,827,244
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177885/1
Therefore the LCM of Fractions 67/133,45/827,531/244 is 177885
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 133,827,244 . The biggest common factor number is the GCF number.
So the greatest common factor 133,827,244 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 67/133, 45/827, 531/244?
Answer: LCM of Numerators as per given numbers 67/133, 45/827, 531/244 is
LCM of Numerators i.e. for 67,45,531 is 177885
GCF of denominators i.e. for 133,827,244 is 1.
Thus, LCM of Fractions is 177885.Finally, LCM of Fractions for 67/133, 45/827, 531/244 is 177885.