Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 890/747, 3663/8034 quickly i.e. 1086690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 890/747, 3663/8034 is 1086690.
LCM(890/747, 3663/8034) = 1086690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 890/747,3663/8034
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 890,3663
Least Common Multiple of Numerators i.e. LCM of 890,3663 is 3260070.
GCF of Denominators means GCF of 747,8034 as per the given fractions.
GCF of 747,8034 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 890,3663
Given numbers has no common factors except 1. So, there LCM is their product i.e 3260070
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 890,3663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,3663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,3663) x common factors =1 x 1 = 1
LCM(890,3663) = ( 890 × 3663 ) / 1
LCM(890,3663) = 3260070 / 1
LCM(890,3663) = 3260070
Lets's calculate GCF of 747,8034
3 | 747, 8034 |
249, 2678 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3260070/3
Therefore the LCM of Fractions 890/747,3663/8034 is 1086690
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Greatest Common Factor
We found the factors 747,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 747,8034 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 890/747, 3663/8034?
Answer: LCM of Numerators as per given numbers 890/747, 3663/8034 is
LCM of Numerators i.e. for 890,3663 is 3260070
GCF of denominators i.e. for 747,8034 is 3.
Thus, LCM of Fractions is 1086690.Finally, LCM of Fractions for 890/747, 3663/8034 is 1086690.