Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3971/552, 7506/8860 quickly i.e. 29806326/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3971/552, 7506/8860 is 29806326/4.
LCM(3971/552, 7506/8860) = 29806326/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3971/552,7506/8860
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 3971,7506
Least Common Multiple of Numerators i.e. LCM of 3971,7506 is 29806326.
GCF of Denominators means GCF of 552,8860 as per the given fractions.
GCF of 552,8860 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3971,7506
Given numbers has no common factors except 1. So, there LCM is their product i.e 29806326
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 3971,7506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3971,7506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3971,7506) x common factors =1 x 1 = 1
LCM(3971,7506) = ( 3971 × 7506 ) / 1
LCM(3971,7506) = 29806326 / 1
LCM(3971,7506) = 29806326
Lets's calculate GCF of 552,8860
2 | 552, 8860 |
2 | 276, 4430 |
138, 2215 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29806326/4
Therefore the LCM of Fractions 3971/552,7506/8860 is 29806326/4
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 8860
List of positive integer factors of 8860 that divides 8860 without a remainder.
1,2,4,5,10,20,443,886,1772,2215,4430,8860
Greatest Common Factor
We found the factors 552,8860 . The biggest common factor number is the GCF number.
So the greatest common factor 552,8860 is 4.
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 3971/552, 7506/8860?
Answer: LCM of Numerators as per given numbers 3971/552, 7506/8860 is
LCM of Numerators i.e. for 3971,7506 is 29806326
GCF of denominators i.e. for 552,8860 is 4.
Thus, LCM of Fractions is 29806326/4.Finally, LCM of Fractions for 3971/552, 7506/8860 is 29806326/4.