Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 219/62, 850/96, 521/96 quickly i.e. 48492075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 219/62, 850/96, 521/96 is 48492075.
LCM(219/62, 850/96, 521/96) = 48492075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 219/62,850/96,521/96
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 219,850,521
Least Common Multiple of Numerators i.e. LCM of 219,850,521 is 96984150.
GCF of Denominators means GCF of 62,96,96 as per the given fractions.
GCF of 62,96,96 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 219,850,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 96984150
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 219,850,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,850,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,850,521) x common factors =1 x 1 = 1
LCM(219,850,521) = ( 219 × 850 × 521 ) / 1
LCM(219,850,521) = 96984150 / 1
LCM(219,850,521) = 96984150
Lets's calculate GCF of 62,96,96
2 | 62, 96, 96 |
31, 48, 48 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96984150/2
Therefore the LCM of Fractions 219/62,850/96,521/96 is 48492075
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Greatest Common Factor
We found the factors 62,96,96 . The biggest common factor number is the GCF number.
So the greatest common factor 62,96,96 is 2.
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 219/62, 850/96, 521/96?
Answer: LCM of Numerators as per given numbers 219/62, 850/96, 521/96 is
LCM of Numerators i.e. for 219,850,521 is 96984150
GCF of denominators i.e. for 62,96,96 is 2.
Thus, LCM of Fractions is 48492075.Finally, LCM of Fractions for 219/62, 850/96, 521/96 is 48492075.