Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/166, 3264/2487 quickly i.e. 42432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/166, 3264/2487 is 42432.
LCM(78/166, 3264/2487) = 42432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/166,3264/2487
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 78,3264
Least Common Multiple of Numerators i.e. LCM of 78,3264 is 42432.
GCF of Denominators means GCF of 166,2487 as per the given fractions.
GCF of 166,2487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,3264
2 | 78, 3264 |
3 | 39, 1632 |
13, 544 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 544 = 42432
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 78,3264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,3264) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,3264) x common factors =6 x 1 = 6
LCM(78,3264) = ( 78 × 3264 ) / 6
LCM(78,3264) = 254592 / 6
LCM(78,3264) = 42432
Lets's calculate GCF of 166,2487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42432/1
Therefore the LCM of Fractions 78/166,3264/2487 is 42432
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 2487
List of positive integer factors of 2487 that divides 2487 without a remainder.
1,3,829,2487
Greatest Common Factor
We found the factors 166,2487 . The biggest common factor number is the GCF number.
So the greatest common factor 166,2487 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 78/166, 3264/2487?
Answer: LCM of Numerators as per given numbers 78/166, 3264/2487 is
LCM of Numerators i.e. for 78,3264 is 42432
GCF of denominators i.e. for 166,2487 is 1.
Thus, LCM of Fractions is 42432.Finally, LCM of Fractions for 78/166, 3264/2487 is 42432.