Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7846/561, 7695/706 quickly i.e. 60374970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7846/561, 7695/706 is 60374970.
LCM(7846/561, 7695/706) = 60374970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7846/561,7695/706
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 7846,7695
Least Common Multiple of Numerators i.e. LCM of 7846,7695 is 60374970.
GCF of Denominators means GCF of 561,706 as per the given fractions.
GCF of 561,706 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7846,7695
Given numbers has no common factors except 1. So, there LCM is their product i.e 60374970
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 7846,7695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7846,7695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7846,7695) x common factors =1 x 1 = 1
LCM(7846,7695) = ( 7846 × 7695 ) / 1
LCM(7846,7695) = 60374970 / 1
LCM(7846,7695) = 60374970
Lets's calculate GCF of 561,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60374970/1
Therefore the LCM of Fractions 7846/561,7695/706 is 60374970
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 561,706 . The biggest common factor number is the GCF number.
So the greatest common factor 561,706 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 7846/561, 7695/706?
Answer: LCM of Numerators as per given numbers 7846/561, 7695/706 is
LCM of Numerators i.e. for 7846,7695 is 60374970
GCF of denominators i.e. for 561,706 is 1.
Thus, LCM of Fractions is 60374970.Finally, LCM of Fractions for 7846/561, 7695/706 is 60374970.