Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 720/922, 2216/359 quickly i.e. 199440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 720/922, 2216/359 is 199440.
LCM(720/922, 2216/359) = 199440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 720/922,2216/359
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 720,2216
Least Common Multiple of Numerators i.e. LCM of 720,2216 is 199440.
GCF of Denominators means GCF of 922,359 as per the given fractions.
GCF of 922,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 720,2216
2 | 720, 2216 |
2 | 360, 1108 |
2 | 180, 554 |
90, 277 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 90 x 277 = 199440
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 720,2216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,2216) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(720,2216) x common factors =8 x 1 = 8
LCM(720,2216) = ( 720 × 2216 ) / 8
LCM(720,2216) = 1595520 / 8
LCM(720,2216) = 199440
Lets's calculate GCF of 922,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199440/1
Therefore the LCM of Fractions 720/922,2216/359 is 199440
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 922,359 . The biggest common factor number is the GCF number.
So the greatest common factor 922,359 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 720/922, 2216/359?
Answer: LCM of Numerators as per given numbers 720/922, 2216/359 is
LCM of Numerators i.e. for 720,2216 is 199440
GCF of denominators i.e. for 922,359 is 1.
Thus, LCM of Fractions is 199440.Finally, LCM of Fractions for 720/922, 2216/359 is 199440.