Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/822, 589/291 quickly i.e. 92473/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/822, 589/291 is 92473/3.
LCM(157/822, 589/291) = 92473/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/822,589/291
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 157,589
Least Common Multiple of Numerators i.e. LCM of 157,589 is 92473.
GCF of Denominators means GCF of 822,291 as per the given fractions.
GCF of 822,291 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 92473
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 157,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,589) x common factors =1 x 1 = 1
LCM(157,589) = ( 157 × 589 ) / 1
LCM(157,589) = 92473 / 1
LCM(157,589) = 92473
Lets's calculate GCF of 822,291
3 | 822, 291 |
274, 97 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92473/3
Therefore the LCM of Fractions 157/822,589/291 is 92473/3
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 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 822,291 . The biggest common factor number is the GCF number.
So the greatest common factor 822,291 is 3.
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 157/822, 589/291?
Answer: LCM of Numerators as per given numbers 157/822, 589/291 is
LCM of Numerators i.e. for 157,589 is 92473
GCF of denominators i.e. for 822,291 is 3.
Thus, LCM of Fractions is 92473/3.Finally, LCM of Fractions for 157/822, 589/291 is 92473/3.