Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 999/846, 550/898, 665/362 quickly i.e. 36538425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 999/846, 550/898, 665/362 is 36538425.
LCM(999/846, 550/898, 665/362) = 36538425
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 999/846,550/898,665/362
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 999,550,665
Least Common Multiple of Numerators i.e. LCM of 999,550,665 is 73076850.
GCF of Denominators means GCF of 846,898,362 as per the given fractions.
GCF of 846,898,362 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 999,550,665
5 | 999, 550, 665 |
999, 110, 133 |
∴ So the LCM of the given numbers is 5 x 999 x 110 x 133 = 73076850
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 999,550,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,550,665) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(999,550,665) x common factors =1 x 5 = 5
LCM(999,550,665) = ( 999 × 550 × 665 ) / 5
LCM(999,550,665) = 365384250 / 5
LCM(999,550,665) = 73076850
Lets's calculate GCF of 846,898,362
2 | 846, 898, 362 |
423, 449, 181 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73076850/2
Therefore the LCM of Fractions 999/846,550/898,665/362 is 36538425
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 846,898,362 . The biggest common factor number is the GCF number.
So the greatest common factor 846,898,362 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 999/846, 550/898, 665/362?
Answer: LCM of Numerators as per given numbers 999/846, 550/898, 665/362 is
LCM of Numerators i.e. for 999,550,665 is 73076850
GCF of denominators i.e. for 846,898,362 is 2.
Thus, LCM of Fractions is 36538425.Finally, LCM of Fractions for 999/846, 550/898, 665/362 is 36538425.