Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6581/151, 3011/210 quickly i.e. 19815391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6581/151, 3011/210 is 19815391.
LCM(6581/151, 3011/210) = 19815391
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6581/151,3011/210
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 6581,3011
Least Common Multiple of Numerators i.e. LCM of 6581,3011 is 19815391.
GCF of Denominators means GCF of 151,210 as per the given fractions.
GCF of 151,210 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6581,3011
Given numbers has no common factors except 1. So, there LCM is their product i.e 19815391
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 6581,3011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6581,3011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6581,3011) x common factors =1 x 1 = 1
LCM(6581,3011) = ( 6581 × 3011 ) / 1
LCM(6581,3011) = 19815391 / 1
LCM(6581,3011) = 19815391
Lets's calculate GCF of 151,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19815391/1
Therefore the LCM of Fractions 6581/151,3011/210 is 19815391
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 151,210 . The biggest common factor number is the GCF number.
So the greatest common factor 151,210 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 6581/151, 3011/210?
Answer: LCM of Numerators as per given numbers 6581/151, 3011/210 is
LCM of Numerators i.e. for 6581,3011 is 19815391
GCF of denominators i.e. for 151,210 is 1.
Thus, LCM of Fractions is 19815391.Finally, LCM of Fractions for 6581/151, 3011/210 is 19815391.