Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8951/444, 5751/441 quickly i.e. 17159067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8951/444, 5751/441 is 17159067.
LCM(8951/444, 5751/441) = 17159067
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8951/444,5751/441
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 8951,5751
Least Common Multiple of Numerators i.e. LCM of 8951,5751 is 51477201.
GCF of Denominators means GCF of 444,441 as per the given fractions.
GCF of 444,441 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8951,5751
Given numbers has no common factors except 1. So, there LCM is their product i.e 51477201
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 8951,5751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8951,5751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8951,5751) x common factors =1 x 1 = 1
LCM(8951,5751) = ( 8951 × 5751 ) / 1
LCM(8951,5751) = 51477201 / 1
LCM(8951,5751) = 51477201
Lets's calculate GCF of 444,441
3 | 444, 441 |
148, 147 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51477201/3
Therefore the LCM of Fractions 8951/444,5751/441 is 17159067
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 444,441 . The biggest common factor number is the GCF number.
So the greatest common factor 444,441 is 3.
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 8951/444, 5751/441?
Answer: LCM of Numerators as per given numbers 8951/444, 5751/441 is
LCM of Numerators i.e. for 8951,5751 is 51477201
GCF of denominators i.e. for 444,441 is 3.
Thus, LCM of Fractions is 17159067.Finally, LCM of Fractions for 8951/444, 5751/441 is 17159067.