Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/19, 2/84, 47/64, 89/420 quickly i.e. 33464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/19, 2/84, 47/64, 89/420 is 33464.
LCM(8/19, 2/84, 47/64, 89/420) = 33464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/19,2/84,47/64,89/420
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 8,2,47,89
Least Common Multiple of Numerators i.e. LCM of 8,2,47,89 is 33464.
GCF of Denominators means GCF of 19,84,64,420 as per the given fractions.
GCF of 19,84,64,420 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,2,47,89
2 | 8, 2, 47, 89 |
4, 1, 47, 89 |
∴ So the LCM of the given numbers is 2 x 4 x 1 x 47 x 89 = 33464
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 8,2,47,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,2,47,89) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,2,47,89) x common factors =1 x 2 = 2
LCM(8,2,47,89) = ( 8 × 2 × 47 × 89 ) / 2
LCM(8,2,47,89) = 66928 / 2
LCM(8,2,47,89) = 33464
Lets's calculate GCF of 19,84,64,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33464/1
Therefore the LCM of Fractions 8/19,2/84,47/64,89/420 is 33464
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 19,84,64,420 . The biggest common factor number is the GCF number.
So the greatest common factor 19,84,64,420 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 8/19, 2/84, 47/64, 89/420?
Answer: LCM of Numerators as per given numbers 8/19, 2/84, 47/64, 89/420 is
LCM of Numerators i.e. for 8,2,47,89 is 33464
GCF of denominators i.e. for 19,84,64,420 is 1.
Thus, LCM of Fractions is 33464.Finally, LCM of Fractions for 8/19, 2/84, 47/64, 89/420 is 33464.