Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 770/85, 337/6643 quickly i.e. 259490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 770/85, 337/6643 is 259490.
LCM(770/85, 337/6643) = 259490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 770/85,337/6643
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 770,337
Least Common Multiple of Numerators i.e. LCM of 770,337 is 259490.
GCF of Denominators means GCF of 85,6643 as per the given fractions.
GCF of 85,6643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 770,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 259490
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 770,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(770,337) x common factors =1 x 1 = 1
LCM(770,337) = ( 770 × 337 ) / 1
LCM(770,337) = 259490 / 1
LCM(770,337) = 259490
Lets's calculate GCF of 85,6643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259490/1
Therefore the LCM of Fractions 770/85,337/6643 is 259490
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 6643
List of positive integer factors of 6643 that divides 6643 without a remainder.
1,7,13,73,91,511,949,6643
Greatest Common Factor
We found the factors 85,6643 . The biggest common factor number is the GCF number.
So the greatest common factor 85,6643 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 770/85, 337/6643?
Answer: LCM of Numerators as per given numbers 770/85, 337/6643 is
LCM of Numerators i.e. for 770,337 is 259490
GCF of denominators i.e. for 85,6643 is 1.
Thus, LCM of Fractions is 259490.Finally, LCM of Fractions for 770/85, 337/6643 is 259490.