Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/822, 244/287, 599/434 quickly i.e. 7161644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/822, 244/287, 599/434 is 7161644.
LCM(98/822, 244/287, 599/434) = 7161644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/822,244/287,599/434
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 98,244,599
Least Common Multiple of Numerators i.e. LCM of 98,244,599 is 7161644.
GCF of Denominators means GCF of 822,287,434 as per the given fractions.
GCF of 822,287,434 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,244,599
2 | 98, 244, 599 |
49, 122, 599 |
∴ So the LCM of the given numbers is 2 x 49 x 122 x 599 = 7161644
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 98,244,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,244,599) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,244,599) x common factors =1 x 2 = 2
LCM(98,244,599) = ( 98 × 244 × 599 ) / 2
LCM(98,244,599) = 14323288 / 2
LCM(98,244,599) = 7161644
Lets's calculate GCF of 822,287,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7161644/1
Therefore the LCM of Fractions 98/822,244/287,599/434 is 7161644
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 822,287,434 . The biggest common factor number is the GCF number.
So the greatest common factor 822,287,434 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 98/822, 244/287, 599/434?
Answer: LCM of Numerators as per given numbers 98/822, 244/287, 599/434 is
LCM of Numerators i.e. for 98,244,599 is 7161644
GCF of denominators i.e. for 822,287,434 is 1.
Thus, LCM of Fractions is 7161644.Finally, LCM of Fractions for 98/822, 244/287, 599/434 is 7161644.