Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/405, 7812/5920 quickly i.e. 54684/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/405, 7812/5920 is 54684/5.
LCM(98/405, 7812/5920) = 54684/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/405,7812/5920
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 98,7812
Least Common Multiple of Numerators i.e. LCM of 98,7812 is 54684.
GCF of Denominators means GCF of 405,5920 as per the given fractions.
GCF of 405,5920 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,7812
2 | 98, 7812 |
7 | 49, 3906 |
7, 558 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 558 = 54684
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 98,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,7812) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(98,7812) x common factors =14 x 1 = 14
LCM(98,7812) = ( 98 × 7812 ) / 14
LCM(98,7812) = 765576 / 14
LCM(98,7812) = 54684
Lets's calculate GCF of 405,5920
5 | 405, 5920 |
81, 1184 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54684/5
Therefore the LCM of Fractions 98/405,7812/5920 is 54684/5
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 5920
List of positive integer factors of 5920 that divides 5920 without a remainder.
1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920
Greatest Common Factor
We found the factors 405,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 405,5920 is 5.
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 98/405, 7812/5920?
Answer: LCM of Numerators as per given numbers 98/405, 7812/5920 is
LCM of Numerators i.e. for 98,7812 is 54684
GCF of denominators i.e. for 405,5920 is 5.
Thus, LCM of Fractions is 54684/5.Finally, LCM of Fractions for 98/405, 7812/5920 is 54684/5.