Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7956/694, 7211/464 quickly i.e. 28685358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7956/694, 7211/464 is 28685358.
LCM(7956/694, 7211/464) = 28685358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7956/694,7211/464
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 7956,7211
Least Common Multiple of Numerators i.e. LCM of 7956,7211 is 57370716.
GCF of Denominators means GCF of 694,464 as per the given fractions.
GCF of 694,464 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7956,7211
Given numbers has no common factors except 1. So, there LCM is their product i.e 57370716
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 7956,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7956,7211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7956,7211) x common factors =1 x 1 = 1
LCM(7956,7211) = ( 7956 × 7211 ) / 1
LCM(7956,7211) = 57370716 / 1
LCM(7956,7211) = 57370716
Lets's calculate GCF of 694,464
2 | 694, 464 |
347, 232 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57370716/2
Therefore the LCM of Fractions 7956/694,7211/464 is 28685358
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 694,464 . The biggest common factor number is the GCF number.
So the greatest common factor 694,464 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 7956/694, 7211/464?
Answer: LCM of Numerators as per given numbers 7956/694, 7211/464 is
LCM of Numerators i.e. for 7956,7211 is 57370716
GCF of denominators i.e. for 694,464 is 2.
Thus, LCM of Fractions is 28685358.Finally, LCM of Fractions for 7956/694, 7211/464 is 28685358.