Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 692/70, 847/2191 quickly i.e. 83732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 692/70, 847/2191 is 83732.
LCM(692/70, 847/2191) = 83732
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 692/70,847/2191
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 692,847
Least Common Multiple of Numerators i.e. LCM of 692,847 is 586124.
GCF of Denominators means GCF of 70,2191 as per the given fractions.
GCF of 70,2191 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 692,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 586124
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 692,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,847) x common factors =1 x 1 = 1
LCM(692,847) = ( 692 × 847 ) / 1
LCM(692,847) = 586124 / 1
LCM(692,847) = 586124
Lets's calculate GCF of 70,2191
7 | 70, 2191 |
10, 313 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586124/7
Therefore the LCM of Fractions 692/70,847/2191 is 83732
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 2191
List of positive integer factors of 2191 that divides 2191 without a remainder.
1,7,313,2191
Greatest Common Factor
We found the factors 70,2191 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2191 is 7.
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 692/70, 847/2191?
Answer: LCM of Numerators as per given numbers 692/70, 847/2191 is
LCM of Numerators i.e. for 692,847 is 586124
GCF of denominators i.e. for 70,2191 is 7.
Thus, LCM of Fractions is 83732.Finally, LCM of Fractions for 692/70, 847/2191 is 83732.