Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6211/691, 2130/6906 quickly i.e. 13229430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6211/691, 2130/6906 is 13229430.
LCM(6211/691, 2130/6906) = 13229430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6211/691,2130/6906
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 6211,2130
Least Common Multiple of Numerators i.e. LCM of 6211,2130 is 13229430.
GCF of Denominators means GCF of 691,6906 as per the given fractions.
GCF of 691,6906 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6211,2130
Given numbers has no common factors except 1. So, there LCM is their product i.e 13229430
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 6211,2130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6211,2130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6211,2130) x common factors =1 x 1 = 1
LCM(6211,2130) = ( 6211 × 2130 ) / 1
LCM(6211,2130) = 13229430 / 1
LCM(6211,2130) = 13229430
Lets's calculate GCF of 691,6906
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13229430/1
Therefore the LCM of Fractions 6211/691,2130/6906 is 13229430
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 6906
List of positive integer factors of 6906 that divides 6906 without a remainder.
1,2,3,6,1151,2302,3453,6906
Greatest Common Factor
We found the factors 691,6906 . The biggest common factor number is the GCF number.
So the greatest common factor 691,6906 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 6211/691, 2130/6906?
Answer: LCM of Numerators as per given numbers 6211/691, 2130/6906 is
LCM of Numerators i.e. for 6211,2130 is 13229430
GCF of denominators i.e. for 691,6906 is 1.
Thus, LCM of Fractions is 13229430.Finally, LCM of Fractions for 6211/691, 2130/6906 is 13229430.