Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/38, 505/36, 659/223 quickly i.e. 18636520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/38, 505/36, 659/223 is 18636520.
LCM(56/38, 505/36, 659/223) = 18636520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/38,505/36,659/223
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 56,505,659
Least Common Multiple of Numerators i.e. LCM of 56,505,659 is 18636520.
GCF of Denominators means GCF of 38,36,223 as per the given fractions.
GCF of 38,36,223 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,505,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 18636520
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 56,505,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,505,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,505,659) x common factors =1 x 1 = 1
LCM(56,505,659) = ( 56 × 505 × 659 ) / 1
LCM(56,505,659) = 18636520 / 1
LCM(56,505,659) = 18636520
Lets's calculate GCF of 38,36,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18636520/1
Therefore the LCM of Fractions 56/38,505/36,659/223 is 18636520
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Greatest Common Factor
We found the factors 38,36,223 . The biggest common factor number is the GCF number.
So the greatest common factor 38,36,223 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 56/38, 505/36, 659/223?
Answer: LCM of Numerators as per given numbers 56/38, 505/36, 659/223 is
LCM of Numerators i.e. for 56,505,659 is 18636520
GCF of denominators i.e. for 38,36,223 is 1.
Thus, LCM of Fractions is 18636520.Finally, LCM of Fractions for 56/38, 505/36, 659/223 is 18636520.