Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8752/800, 4420/606 quickly i.e. 4835480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8752/800, 4420/606 is 4835480.
LCM(8752/800, 4420/606) = 4835480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8752/800,4420/606
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 8752,4420
Least Common Multiple of Numerators i.e. LCM of 8752,4420 is 9670960.
GCF of Denominators means GCF of 800,606 as per the given fractions.
GCF of 800,606 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8752,4420
2 | 8752, 4420 |
2 | 4376, 2210 |
2188, 1105 |
∴ So the LCM of the given numbers is 2 x 2 x 2188 x 1105 = 9670960
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 8752,4420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8752,4420) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(8752,4420) x common factors =4 x 1 = 4
LCM(8752,4420) = ( 8752 × 4420 ) / 4
LCM(8752,4420) = 38683840 / 4
LCM(8752,4420) = 9670960
Lets's calculate GCF of 800,606
2 | 800, 606 |
400, 303 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9670960/2
Therefore the LCM of Fractions 8752/800,4420/606 is 4835480
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 800,606 . The biggest common factor number is the GCF number.
So the greatest common factor 800,606 is 2.
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 8752/800, 4420/606?
Answer: LCM of Numerators as per given numbers 8752/800, 4420/606 is
LCM of Numerators i.e. for 8752,4420 is 9670960
GCF of denominators i.e. for 800,606 is 2.
Thus, LCM of Fractions is 4835480.Finally, LCM of Fractions for 8752/800, 4420/606 is 4835480.