Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/37, 192/65, 811/931 quickly i.e. 778560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/37, 192/65, 811/931 is 778560.
LCM(40/37, 192/65, 811/931) = 778560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/37,192/65,811/931
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 40,192,811
Least Common Multiple of Numerators i.e. LCM of 40,192,811 is 778560.
GCF of Denominators means GCF of 37,65,931 as per the given fractions.
GCF of 37,65,931 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,192,811
2 | 40, 192, 811 |
2 | 20, 96, 811 |
2 | 10, 48, 811 |
5, 24, 811 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 24 x 811 = 778560
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 40,192,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,192,811) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(40,192,811) x common factors =1 x 8 = 8
LCM(40,192,811) = ( 40 × 192 × 811 ) / 8
LCM(40,192,811) = 6228480 / 8
LCM(40,192,811) = 778560
Lets's calculate GCF of 37,65,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 778560/1
Therefore the LCM of Fractions 40/37,192/65,811/931 is 778560
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors 37,65,931 . The biggest common factor number is the GCF number.
So the greatest common factor 37,65,931 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 40/37, 192/65, 811/931?
Answer: LCM of Numerators as per given numbers 40/37, 192/65, 811/931 is
LCM of Numerators i.e. for 40,192,811 is 778560
GCF of denominators i.e. for 37,65,931 is 1.
Thus, LCM of Fractions is 778560.Finally, LCM of Fractions for 40/37, 192/65, 811/931 is 778560.