Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/685, 64/413, 888/596 quickly i.e. 78144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/685, 64/413, 888/596 is 78144.
LCM(66/685, 64/413, 888/596) = 78144
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/685,64/413,888/596
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 66,64,888
Least Common Multiple of Numerators i.e. LCM of 66,64,888 is 78144.
GCF of Denominators means GCF of 685,413,596 as per the given fractions.
GCF of 685,413,596 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,64,888
2 | 66, 64, 888 |
2 | 33, 32, 444 |
2 | 33, 16, 222 |
3 | 33, 8, 111 |
11, 8, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 8 x 37 = 78144
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 66,64,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,64,888) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(66,64,888) x common factors =2 x 24 = 48
LCM(66,64,888) = ( 66 × 64 × 888 ) / 48
LCM(66,64,888) = 3750912 / 48
LCM(66,64,888) = 78144
Lets's calculate GCF of 685,413,596
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78144/1
Therefore the LCM of Fractions 66/685,64/413,888/596 is 78144
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 685,413,596 . The biggest common factor number is the GCF number.
So the greatest common factor 685,413,596 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 66/685, 64/413, 888/596?
Answer: LCM of Numerators as per given numbers 66/685, 64/413, 888/596 is
LCM of Numerators i.e. for 66,64,888 is 78144
GCF of denominators i.e. for 685,413,596 is 1.
Thus, LCM of Fractions is 78144.Finally, LCM of Fractions for 66/685, 64/413, 888/596 is 78144.