Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 834/30, 958/888 quickly i.e. 66581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 834/30, 958/888 is 66581.
LCM(834/30, 958/888) = 66581
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 834/30,958/888
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 834,958
Least Common Multiple of Numerators i.e. LCM of 834,958 is 399486.
GCF of Denominators means GCF of 30,888 as per the given fractions.
GCF of 30,888 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 834,958
2 | 834, 958 |
417, 479 |
∴ So the LCM of the given numbers is 2 x 417 x 479 = 399486
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 834,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,958) x common factors =2 x 1 = 2
LCM(834,958) = ( 834 × 958 ) / 2
LCM(834,958) = 798972 / 2
LCM(834,958) = 399486
Lets's calculate GCF of 30,888
2 | 30, 888 |
3 | 15, 444 |
5, 148 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399486/6
Therefore the LCM of Fractions 834/30,958/888 is 66581
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 30,888 . The biggest common factor number is the GCF number.
So the greatest common factor 30,888 is 6.
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 834/30, 958/888?
Answer: LCM of Numerators as per given numbers 834/30, 958/888 is
LCM of Numerators i.e. for 834,958 is 399486
GCF of denominators i.e. for 30,888 is 6.
Thus, LCM of Fractions is 66581.Finally, LCM of Fractions for 834/30, 958/888 is 66581.