Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/43, 637/18, 818/651 quickly i.e. 11463452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/43, 637/18, 818/651 is 11463452.
LCM(44/43, 637/18, 818/651) = 11463452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/43,637/18,818/651
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 44,637,818
Least Common Multiple of Numerators i.e. LCM of 44,637,818 is 11463452.
GCF of Denominators means GCF of 43,18,651 as per the given fractions.
GCF of 43,18,651 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,637,818
2 | 44, 637, 818 |
22, 637, 409 |
∴ So the LCM of the given numbers is 2 x 22 x 637 x 409 = 11463452
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 44,637,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,637,818) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,637,818) x common factors =1 x 2 = 2
LCM(44,637,818) = ( 44 × 637 × 818 ) / 2
LCM(44,637,818) = 22926904 / 2
LCM(44,637,818) = 11463452
Lets's calculate GCF of 43,18,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11463452/1
Therefore the LCM of Fractions 44/43,637/18,818/651 is 11463452
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 43,18,651 . The biggest common factor number is the GCF number.
So the greatest common factor 43,18,651 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 44/43, 637/18, 818/651?
Answer: LCM of Numerators as per given numbers 44/43, 637/18, 818/651 is
LCM of Numerators i.e. for 44,637,818 is 11463452
GCF of denominators i.e. for 43,18,651 is 1.
Thus, LCM of Fractions is 11463452.Finally, LCM of Fractions for 44/43, 637/18, 818/651 is 11463452.