Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6331/845, 5394/624 quickly i.e. 2626878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6331/845, 5394/624 is 2626878.
LCM(6331/845, 5394/624) = 2626878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6331/845,5394/624
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 6331,5394
Least Common Multiple of Numerators i.e. LCM of 6331,5394 is 34149414.
GCF of Denominators means GCF of 845,624 as per the given fractions.
GCF of 845,624 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6331,5394
Given numbers has no common factors except 1. So, there LCM is their product i.e 34149414
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 6331,5394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6331,5394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6331,5394) x common factors =1 x 1 = 1
LCM(6331,5394) = ( 6331 × 5394 ) / 1
LCM(6331,5394) = 34149414 / 1
LCM(6331,5394) = 34149414
Lets's calculate GCF of 845,624
13 | 845, 624 |
65, 48 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34149414/13
Therefore the LCM of Fractions 6331/845,5394/624 is 2626878
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 845,624 . The biggest common factor number is the GCF number.
So the greatest common factor 845,624 is 13.
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 6331/845, 5394/624?
Answer: LCM of Numerators as per given numbers 6331/845, 5394/624 is
LCM of Numerators i.e. for 6331,5394 is 34149414
GCF of denominators i.e. for 845,624 is 13.
Thus, LCM of Fractions is 2626878.Finally, LCM of Fractions for 6331/845, 5394/624 is 2626878.