Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8802/670, 7832/5217 quickly i.e. 34468632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8802/670, 7832/5217 is 34468632.
LCM(8802/670, 7832/5217) = 34468632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8802/670,7832/5217
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 8802,7832
Least Common Multiple of Numerators i.e. LCM of 8802,7832 is 34468632.
GCF of Denominators means GCF of 670,5217 as per the given fractions.
GCF of 670,5217 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8802,7832
2 | 8802, 7832 |
4401, 3916 |
∴ So the LCM of the given numbers is 2 x 4401 x 3916 = 34468632
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 8802,7832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8802,7832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8802,7832) x common factors =2 x 1 = 2
LCM(8802,7832) = ( 8802 × 7832 ) / 2
LCM(8802,7832) = 68937264 / 2
LCM(8802,7832) = 34468632
Lets's calculate GCF of 670,5217
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34468632/1
Therefore the LCM of Fractions 8802/670,7832/5217 is 34468632
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 5217
List of positive integer factors of 5217 that divides 5217 without a remainder.
1,3,37,47,111,141,1739,5217
Greatest Common Factor
We found the factors 670,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 670,5217 is 1.
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 8802/670, 7832/5217?
Answer: LCM of Numerators as per given numbers 8802/670, 7832/5217 is
LCM of Numerators i.e. for 8802,7832 is 34468632
GCF of denominators i.e. for 670,5217 is 1.
Thus, LCM of Fractions is 34468632.Finally, LCM of Fractions for 8802/670, 7832/5217 is 34468632.