Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 684/79, 236/99, 282/825 quickly i.e. 1896732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 684/79, 236/99, 282/825 is 1896732.
LCM(684/79, 236/99, 282/825) = 1896732
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 684/79,236/99,282/825
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 684,236,282
Least Common Multiple of Numerators i.e. LCM of 684,236,282 is 1896732.
GCF of Denominators means GCF of 79,99,825 as per the given fractions.
GCF of 79,99,825 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 684,236,282
2 | 684, 236, 282 |
2 | 342, 118, 141 |
3 | 171, 59, 141 |
57, 59, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 57 x 59 x 47 = 1896732
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 684,236,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,236,282) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(684,236,282) x common factors =2 x 12 = 24
LCM(684,236,282) = ( 684 × 236 × 282 ) / 24
LCM(684,236,282) = 45521568 / 24
LCM(684,236,282) = 1896732
Lets's calculate GCF of 79,99,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1896732/1
Therefore the LCM of Fractions 684/79,236/99,282/825 is 1896732
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 79,99,825 . The biggest common factor number is the GCF number.
So the greatest common factor 79,99,825 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 684/79, 236/99, 282/825?
Answer: LCM of Numerators as per given numbers 684/79, 236/99, 282/825 is
LCM of Numerators i.e. for 684,236,282 is 1896732
GCF of denominators i.e. for 79,99,825 is 1.
Thus, LCM of Fractions is 1896732.Finally, LCM of Fractions for 684/79, 236/99, 282/825 is 1896732.