Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/89, 93/95, 52/62, 53/420 quickly i.e. 3844620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/89, 93/95, 52/62, 53/420 is 3844620.
LCM(90/89, 93/95, 52/62, 53/420) = 3844620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/89,93/95,52/62,53/420
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 90,93,52,53
Least Common Multiple of Numerators i.e. LCM of 90,93,52,53 is 3844620.
GCF of Denominators means GCF of 89,95,62,420 as per the given fractions.
GCF of 89,95,62,420 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,93,52,53
2 | 90, 93, 52, 53 |
3 | 45, 93, 26, 53 |
15, 31, 26, 53 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 31 x 26 x 53 = 3844620
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 90,93,52,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,93,52,53) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,93,52,53) x common factors =1 x 6 = 6
LCM(90,93,52,53) = ( 90 × 93 × 52 × 53 ) / 6
LCM(90,93,52,53) = 23067720 / 6
LCM(90,93,52,53) = 3844620
Lets's calculate GCF of 89,95,62,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3844620/1
Therefore the LCM of Fractions 90/89,93/95,52/62,53/420 is 3844620
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
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 89,95,62,420 . The biggest common factor number is the GCF number.
So the greatest common factor 89,95,62,420 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 90/89, 93/95, 52/62, 53/420?
Answer: LCM of Numerators as per given numbers 90/89, 93/95, 52/62, 53/420 is
LCM of Numerators i.e. for 90,93,52,53 is 3844620
GCF of denominators i.e. for 89,95,62,420 is 1.
Thus, LCM of Fractions is 3844620.Finally, LCM of Fractions for 90/89, 93/95, 52/62, 53/420 is 3844620.