Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/77, 64/30, 850/443 quickly i.e. 516800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/77, 64/30, 850/443 is 516800.
LCM(19/77, 64/30, 850/443) = 516800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/77,64/30,850/443
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 19,64,850
Least Common Multiple of Numerators i.e. LCM of 19,64,850 is 516800.
GCF of Denominators means GCF of 77,30,443 as per the given fractions.
GCF of 77,30,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,64,850
2 | 19, 64, 850 |
19, 32, 425 |
∴ So the LCM of the given numbers is 2 x 19 x 32 x 425 = 516800
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 19,64,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,64,850) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(19,64,850) x common factors =1 x 2 = 2
LCM(19,64,850) = ( 19 × 64 × 850 ) / 2
LCM(19,64,850) = 1033600 / 2
LCM(19,64,850) = 516800
Lets's calculate GCF of 77,30,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 516800/1
Therefore the LCM of Fractions 19/77,64/30,850/443 is 516800
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 77,30,443 . The biggest common factor number is the GCF number.
So the greatest common factor 77,30,443 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 19/77, 64/30, 850/443?
Answer: LCM of Numerators as per given numbers 19/77, 64/30, 850/443 is
LCM of Numerators i.e. for 19,64,850 is 516800
GCF of denominators i.e. for 77,30,443 is 1.
Thus, LCM of Fractions is 516800.Finally, LCM of Fractions for 19/77, 64/30, 850/443 is 516800.