Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/413, 74/870, 906/129 quickly i.e. 2648238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/413, 74/870, 906/129 is 2648238.
LCM(79/413, 74/870, 906/129) = 2648238
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/413,74/870,906/129
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 79,74,906
Least Common Multiple of Numerators i.e. LCM of 79,74,906 is 2648238.
GCF of Denominators means GCF of 413,870,129 as per the given fractions.
GCF of 413,870,129 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,74,906
2 | 79, 74, 906 |
79, 37, 453 |
∴ So the LCM of the given numbers is 2 x 79 x 37 x 453 = 2648238
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 79,74,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,74,906) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,74,906) x common factors =1 x 2 = 2
LCM(79,74,906) = ( 79 × 74 × 906 ) / 2
LCM(79,74,906) = 5296476 / 2
LCM(79,74,906) = 2648238
Lets's calculate GCF of 413,870,129
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2648238/1
Therefore the LCM of Fractions 79/413,74/870,906/129 is 2648238
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 413,870,129 . The biggest common factor number is the GCF number.
So the greatest common factor 413,870,129 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 79/413, 74/870, 906/129?
Answer: LCM of Numerators as per given numbers 79/413, 74/870, 906/129 is
LCM of Numerators i.e. for 79,74,906 is 2648238
GCF of denominators i.e. for 413,870,129 is 1.
Thus, LCM of Fractions is 2648238.Finally, LCM of Fractions for 79/413, 74/870, 906/129 is 2648238.