Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/930, 22/958, 62/854 quickly i.e. 1023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/930, 22/958, 62/854 is 1023.
LCM(6/930, 22/958, 62/854) = 1023
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/930,22/958,62/854
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 6,22,62
Least Common Multiple of Numerators i.e. LCM of 6,22,62 is 2046.
GCF of Denominators means GCF of 930,958,854 as per the given fractions.
GCF of 930,958,854 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,22,62
2 | 6, 22, 62 |
3, 11, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 31 = 2046
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 6,22,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,22,62) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(6,22,62) x common factors =2 x 2 = 4
LCM(6,22,62) = ( 6 × 22 × 62 ) / 4
LCM(6,22,62) = 8184 / 4
LCM(6,22,62) = 2046
Lets's calculate GCF of 930,958,854
2 | 930, 958, 854 |
465, 479, 427 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2046/2
Therefore the LCM of Fractions 6/930,22/958,62/854 is 1023
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 930,958,854 . The biggest common factor number is the GCF number.
So the greatest common factor 930,958,854 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 6/930, 22/958, 62/854?
Answer: LCM of Numerators as per given numbers 6/930, 22/958, 62/854 is
LCM of Numerators i.e. for 6,22,62 is 2046
GCF of denominators i.e. for 930,958,854 is 2.
Thus, LCM of Fractions is 1023.Finally, LCM of Fractions for 6/930, 22/958, 62/854 is 1023.