Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/84, 55/23, 78/81, 14/637 quickly i.e. 570570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/84, 55/23, 78/81, 14/637 is 570570.
LCM(19/84, 55/23, 78/81, 14/637) = 570570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/84,55/23,78/81,14/637
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 19,55,78,14
Least Common Multiple of Numerators i.e. LCM of 19,55,78,14 is 570570.
GCF of Denominators means GCF of 84,23,81,637 as per the given fractions.
GCF of 84,23,81,637 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,55,78,14
2 | 19, 55, 78, 14 |
19, 55, 39, 7 |
∴ So the LCM of the given numbers is 2 x 19 x 55 x 39 x 7 = 570570
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 19,55,78,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,55,78,14) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(19,55,78,14) x common factors =1 x 2 = 2
LCM(19,55,78,14) = ( 19 × 55 × 78 × 14 ) / 2
LCM(19,55,78,14) = 1141140 / 2
LCM(19,55,78,14) = 570570
Lets's calculate GCF of 84,23,81,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570570/1
Therefore the LCM of Fractions 19/84,55/23,78/81,14/637 is 570570
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 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Greatest Common Factor
We found the factors 84,23,81,637 . The biggest common factor number is the GCF number.
So the greatest common factor 84,23,81,637 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 19/84, 55/23, 78/81, 14/637?
Answer: LCM of Numerators as per given numbers 19/84, 55/23, 78/81, 14/637 is
LCM of Numerators i.e. for 19,55,78,14 is 570570
GCF of denominators i.e. for 84,23,81,637 is 1.
Thus, LCM of Fractions is 570570.Finally, LCM of Fractions for 19/84, 55/23, 78/81, 14/637 is 570570.