Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6040/186, 3037/758 quickly i.e. 9171740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6040/186, 3037/758 is 9171740.
LCM(6040/186, 3037/758) = 9171740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6040/186,3037/758
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 6040,3037
Least Common Multiple of Numerators i.e. LCM of 6040,3037 is 18343480.
GCF of Denominators means GCF of 186,758 as per the given fractions.
GCF of 186,758 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6040,3037
Given numbers has no common factors except 1. So, there LCM is their product i.e 18343480
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 6040,3037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6040,3037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6040,3037) x common factors =1 x 1 = 1
LCM(6040,3037) = ( 6040 × 3037 ) / 1
LCM(6040,3037) = 18343480 / 1
LCM(6040,3037) = 18343480
Lets's calculate GCF of 186,758
2 | 186, 758 |
93, 379 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18343480/2
Therefore the LCM of Fractions 6040/186,3037/758 is 9171740
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Greatest Common Factor
We found the factors 186,758 . The biggest common factor number is the GCF number.
So the greatest common factor 186,758 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 6040/186, 3037/758?
Answer: LCM of Numerators as per given numbers 6040/186, 3037/758 is
LCM of Numerators i.e. for 6040,3037 is 18343480
GCF of denominators i.e. for 186,758 is 2.
Thus, LCM of Fractions is 9171740.Finally, LCM of Fractions for 6040/186, 3037/758 is 9171740.