Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 228/824, 858/323, 404/989 quickly i.e. 3293004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 228/824, 858/323, 404/989 is 3293004.
LCM(228/824, 858/323, 404/989) = 3293004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 228/824,858/323,404/989
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 228,858,404
Least Common Multiple of Numerators i.e. LCM of 228,858,404 is 3293004.
GCF of Denominators means GCF of 824,323,989 as per the given fractions.
GCF of 824,323,989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 228,858,404
2 | 228, 858, 404 |
2 | 114, 429, 202 |
3 | 57, 429, 101 |
19, 143, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 143 x 101 = 3293004
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 228,858,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,858,404) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(228,858,404) x common factors =2 x 12 = 24
LCM(228,858,404) = ( 228 × 858 × 404 ) / 24
LCM(228,858,404) = 79032096 / 24
LCM(228,858,404) = 3293004
Lets's calculate GCF of 824,323,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3293004/1
Therefore the LCM of Fractions 228/824,858/323,404/989 is 3293004
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 824,323,989 . The biggest common factor number is the GCF number.
So the greatest common factor 824,323,989 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 228/824, 858/323, 404/989?
Answer: LCM of Numerators as per given numbers 228/824, 858/323, 404/989 is
LCM of Numerators i.e. for 228,858,404 is 3293004
GCF of denominators i.e. for 824,323,989 is 1.
Thus, LCM of Fractions is 3293004.Finally, LCM of Fractions for 228/824, 858/323, 404/989 is 3293004.