Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 111/86, 730/6270 quickly i.e. 40515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 111/86, 730/6270 is 40515.
LCM(111/86, 730/6270) = 40515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 111/86,730/6270
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 111,730
Least Common Multiple of Numerators i.e. LCM of 111,730 is 81030.
GCF of Denominators means GCF of 86,6270 as per the given fractions.
GCF of 86,6270 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 111,730
Given numbers has no common factors except 1. So, there LCM is their product i.e 81030
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 111,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,730) x common factors =1 x 1 = 1
LCM(111,730) = ( 111 × 730 ) / 1
LCM(111,730) = 81030 / 1
LCM(111,730) = 81030
Lets's calculate GCF of 86,6270
2 | 86, 6270 |
43, 3135 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81030/2
Therefore the LCM of Fractions 111/86,730/6270 is 40515
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 6270
List of positive integer factors of 6270 that divides 6270 without a remainder.
1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270
Greatest Common Factor
We found the factors 86,6270 . The biggest common factor number is the GCF number.
So the greatest common factor 86,6270 is 2.
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 111/86, 730/6270?
Answer: LCM of Numerators as per given numbers 111/86, 730/6270 is
LCM of Numerators i.e. for 111,730 is 81030
GCF of denominators i.e. for 86,6270 is 2.
Thus, LCM of Fractions is 40515.Finally, LCM of Fractions for 111/86, 730/6270 is 40515.