Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/834, 964/638, 833/188 quickly i.e. 14855722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/834, 964/638, 833/188 is 14855722.
LCM(74/834, 964/638, 833/188) = 14855722
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/834,964/638,833/188
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 74,964,833
Least Common Multiple of Numerators i.e. LCM of 74,964,833 is 29711444.
GCF of Denominators means GCF of 834,638,188 as per the given fractions.
GCF of 834,638,188 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,964,833
2 | 74, 964, 833 |
37, 482, 833 |
∴ So the LCM of the given numbers is 2 x 37 x 482 x 833 = 29711444
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 74,964,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,964,833) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,964,833) x common factors =1 x 2 = 2
LCM(74,964,833) = ( 74 × 964 × 833 ) / 2
LCM(74,964,833) = 59422888 / 2
LCM(74,964,833) = 29711444
Lets's calculate GCF of 834,638,188
2 | 834, 638, 188 |
417, 319, 94 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29711444/2
Therefore the LCM of Fractions 74/834,964/638,833/188 is 14855722
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 834,638,188 . The biggest common factor number is the GCF number.
So the greatest common factor 834,638,188 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 74/834, 964/638, 833/188?
Answer: LCM of Numerators as per given numbers 74/834, 964/638, 833/188 is
LCM of Numerators i.e. for 74,964,833 is 29711444
GCF of denominators i.e. for 834,638,188 is 2.
Thus, LCM of Fractions is 14855722.Finally, LCM of Fractions for 74/834, 964/638, 833/188 is 14855722.