Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6965/594, 7754/847 quickly i.e. 54006610/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6965/594, 7754/847 is 54006610/11.
LCM(6965/594, 7754/847) = 54006610/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6965/594,7754/847
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 6965,7754
Least Common Multiple of Numerators i.e. LCM of 6965,7754 is 54006610.
GCF of Denominators means GCF of 594,847 as per the given fractions.
GCF of 594,847 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6965,7754
Given numbers has no common factors except 1. So, there LCM is their product i.e 54006610
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 6965,7754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6965,7754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6965,7754) x common factors =1 x 1 = 1
LCM(6965,7754) = ( 6965 × 7754 ) / 1
LCM(6965,7754) = 54006610 / 1
LCM(6965,7754) = 54006610
Lets's calculate GCF of 594,847
11 | 594, 847 |
54, 77 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54006610/11
Therefore the LCM of Fractions 6965/594,7754/847 is 54006610/11
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 594,847 . The biggest common factor number is the GCF number.
So the greatest common factor 594,847 is 11.
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 6965/594, 7754/847?
Answer: LCM of Numerators as per given numbers 6965/594, 7754/847 is
LCM of Numerators i.e. for 6965,7754 is 54006610
GCF of denominators i.e. for 594,847 is 11.
Thus, LCM of Fractions is 54006610/11.Finally, LCM of Fractions for 6965/594, 7754/847 is 54006610/11.