Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3579/951, 6944/5988 quickly i.e. 8284192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3579/951, 6944/5988 is 8284192.
LCM(3579/951, 6944/5988) = 8284192
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3579/951,6944/5988
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 3579,6944
Least Common Multiple of Numerators i.e. LCM of 3579,6944 is 24852576.
GCF of Denominators means GCF of 951,5988 as per the given fractions.
GCF of 951,5988 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3579,6944
Given numbers has no common factors except 1. So, there LCM is their product i.e 24852576
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 3579,6944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3579,6944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3579,6944) x common factors =1 x 1 = 1
LCM(3579,6944) = ( 3579 × 6944 ) / 1
LCM(3579,6944) = 24852576 / 1
LCM(3579,6944) = 24852576
Lets's calculate GCF of 951,5988
3 | 951, 5988 |
317, 1996 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24852576/3
Therefore the LCM of Fractions 3579/951,6944/5988 is 8284192
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 5988
List of positive integer factors of 5988 that divides 5988 without a remainder.
1,2,3,4,6,12,499,998,1497,1996,2994,5988
Greatest Common Factor
We found the factors 951,5988 . The biggest common factor number is the GCF number.
So the greatest common factor 951,5988 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 3579/951, 6944/5988?
Answer: LCM of Numerators as per given numbers 3579/951, 6944/5988 is
LCM of Numerators i.e. for 3579,6944 is 24852576
GCF of denominators i.e. for 951,5988 is 3.
Thus, LCM of Fractions is 8284192.Finally, LCM of Fractions for 3579/951, 6944/5988 is 8284192.