Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3352/870, 6578/7024 quickly i.e. 5512364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3352/870, 6578/7024 is 5512364.
LCM(3352/870, 6578/7024) = 5512364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3352/870,6578/7024
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 3352,6578
Least Common Multiple of Numerators i.e. LCM of 3352,6578 is 11024728.
GCF of Denominators means GCF of 870,7024 as per the given fractions.
GCF of 870,7024 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3352,6578
2 | 3352, 6578 |
1676, 3289 |
∴ So the LCM of the given numbers is 2 x 1676 x 3289 = 11024728
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 3352,6578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3352,6578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3352,6578) x common factors =2 x 1 = 2
LCM(3352,6578) = ( 3352 × 6578 ) / 2
LCM(3352,6578) = 22049456 / 2
LCM(3352,6578) = 11024728
Lets's calculate GCF of 870,7024
2 | 870, 7024 |
435, 3512 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11024728/2
Therefore the LCM of Fractions 3352/870,6578/7024 is 5512364
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 7024
List of positive integer factors of 7024 that divides 7024 without a remainder.
1,2,4,8,16,439,878,1756,3512,7024
Greatest Common Factor
We found the factors 870,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 870,7024 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 3352/870, 6578/7024?
Answer: LCM of Numerators as per given numbers 3352/870, 6578/7024 is
LCM of Numerators i.e. for 3352,6578 is 11024728
GCF of denominators i.e. for 870,7024 is 2.
Thus, LCM of Fractions is 5512364.Finally, LCM of Fractions for 3352/870, 6578/7024 is 5512364.