Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/37, 184/85, 219/897 quickly i.e. 322368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/37, 184/85, 219/897 is 322368.
LCM(64/37, 184/85, 219/897) = 322368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/37,184/85,219/897
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 64,184,219
Least Common Multiple of Numerators i.e. LCM of 64,184,219 is 322368.
GCF of Denominators means GCF of 37,85,897 as per the given fractions.
GCF of 37,85,897 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,184,219
2 | 64, 184, 219 |
2 | 32, 92, 219 |
2 | 16, 46, 219 |
8, 23, 219 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 23 x 219 = 322368
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 64,184,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,184,219) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(64,184,219) x common factors =1 x 8 = 8
LCM(64,184,219) = ( 64 × 184 × 219 ) / 8
LCM(64,184,219) = 2578944 / 8
LCM(64,184,219) = 322368
Lets's calculate GCF of 37,85,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322368/1
Therefore the LCM of Fractions 64/37,184/85,219/897 is 322368
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 37,85,897 . The biggest common factor number is the GCF number.
So the greatest common factor 37,85,897 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 64/37, 184/85, 219/897?
Answer: LCM of Numerators as per given numbers 64/37, 184/85, 219/897 is
LCM of Numerators i.e. for 64,184,219 is 322368
GCF of denominators i.e. for 37,85,897 is 1.
Thus, LCM of Fractions is 322368.Finally, LCM of Fractions for 64/37, 184/85, 219/897 is 322368.