Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/337, 3069/7059 quickly i.e. 30690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/337, 3069/7059 is 30690.
LCM(10/337, 3069/7059) = 30690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/337,3069/7059
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 10,3069
Least Common Multiple of Numerators i.e. LCM of 10,3069 is 30690.
GCF of Denominators means GCF of 337,7059 as per the given fractions.
GCF of 337,7059 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,3069
Given numbers has no common factors except 1. So, there LCM is their product i.e 30690
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 10,3069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,3069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,3069) x common factors =1 x 1 = 1
LCM(10,3069) = ( 10 × 3069 ) / 1
LCM(10,3069) = 30690 / 1
LCM(10,3069) = 30690
Lets's calculate GCF of 337,7059
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30690/1
Therefore the LCM of Fractions 10/337,3069/7059 is 30690
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 7059
List of positive integer factors of 7059 that divides 7059 without a remainder.
1,3,13,39,181,543,2353,7059
Greatest Common Factor
We found the factors 337,7059 . The biggest common factor number is the GCF number.
So the greatest common factor 337,7059 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 10/337, 3069/7059?
Answer: LCM of Numerators as per given numbers 10/337, 3069/7059 is
LCM of Numerators i.e. for 10,3069 is 30690
GCF of denominators i.e. for 337,7059 is 1.
Thus, LCM of Fractions is 30690.Finally, LCM of Fractions for 10/337, 3069/7059 is 30690.