Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/372, 812/822, 531/123 quickly i.e. 4455444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/372, 812/822, 531/123 is 4455444.
LCM(93/372, 812/822, 531/123) = 4455444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/372,812/822,531/123
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 93,812,531
Least Common Multiple of Numerators i.e. LCM of 93,812,531 is 13366332.
GCF of Denominators means GCF of 372,822,123 as per the given fractions.
GCF of 372,822,123 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,812,531
3 | 93, 812, 531 |
31, 812, 177 |
∴ So the LCM of the given numbers is 3 x 31 x 812 x 177 = 13366332
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 93,812,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,812,531) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,812,531) x common factors =1 x 3 = 3
LCM(93,812,531) = ( 93 × 812 × 531 ) / 3
LCM(93,812,531) = 40098996 / 3
LCM(93,812,531) = 13366332
Lets's calculate GCF of 372,822,123
3 | 372, 822, 123 |
124, 274, 41 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13366332/3
Therefore the LCM of Fractions 93/372,812/822,531/123 is 4455444
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
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 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 372,822,123 . The biggest common factor number is the GCF number.
So the greatest common factor 372,822,123 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 93/372, 812/822, 531/123?
Answer: LCM of Numerators as per given numbers 93/372, 812/822, 531/123 is
LCM of Numerators i.e. for 93,812,531 is 13366332
GCF of denominators i.e. for 372,822,123 is 3.
Thus, LCM of Fractions is 4455444.Finally, LCM of Fractions for 93/372, 812/822, 531/123 is 4455444.