Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/56, 43/516, 618/826 quickly i.e. 491619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/56, 43/516, 618/826 is 491619.
LCM(37/56, 43/516, 618/826) = 491619
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/56,43/516,618/826
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 37,43,618
Least Common Multiple of Numerators i.e. LCM of 37,43,618 is 983238.
GCF of Denominators means GCF of 56,516,826 as per the given fractions.
GCF of 56,516,826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,43,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 983238
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 37,43,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,43,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,43,618) x common factors =1 x 1 = 1
LCM(37,43,618) = ( 37 × 43 × 618 ) / 1
LCM(37,43,618) = 983238 / 1
LCM(37,43,618) = 983238
Lets's calculate GCF of 56,516,826
2 | 56, 516, 826 |
28, 258, 413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 983238/2
Therefore the LCM of Fractions 37/56,43/516,618/826 is 491619
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 56,516,826 . The biggest common factor number is the GCF number.
So the greatest common factor 56,516,826 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 37/56, 43/516, 618/826?
Answer: LCM of Numerators as per given numbers 37/56, 43/516, 618/826 is
LCM of Numerators i.e. for 37,43,618 is 983238
GCF of denominators i.e. for 56,516,826 is 2.
Thus, LCM of Fractions is 491619.Finally, LCM of Fractions for 37/56, 43/516, 618/826 is 491619.