Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 724/98, 108/219 quickly i.e. 19548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 724/98, 108/219 is 19548.
LCM(724/98, 108/219) = 19548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 724/98,108/219
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 724,108
Least Common Multiple of Numerators i.e. LCM of 724,108 is 19548.
GCF of Denominators means GCF of 98,219 as per the given fractions.
GCF of 98,219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 724,108
2 | 724, 108 |
2 | 362, 54 |
181, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 27 = 19548
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 724,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,108) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,108) x common factors =4 x 1 = 4
LCM(724,108) = ( 724 × 108 ) / 4
LCM(724,108) = 78192 / 4
LCM(724,108) = 19548
Lets's calculate GCF of 98,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19548/1
Therefore the LCM of Fractions 724/98,108/219 is 19548
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 98,219 . The biggest common factor number is the GCF number.
So the greatest common factor 98,219 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 724/98, 108/219?
Answer: LCM of Numerators as per given numbers 724/98, 108/219 is
LCM of Numerators i.e. for 724,108 is 19548
GCF of denominators i.e. for 98,219 is 1.
Thus, LCM of Fractions is 19548.Finally, LCM of Fractions for 724/98, 108/219 is 19548.