Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/40, 381/41, 558/807 quickly i.e. 1984248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/40, 381/41, 558/807 is 1984248.
LCM(56/40, 381/41, 558/807) = 1984248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/40,381/41,558/807
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 56,381,558
Least Common Multiple of Numerators i.e. LCM of 56,381,558 is 1984248.
GCF of Denominators means GCF of 40,41,807 as per the given fractions.
GCF of 40,41,807 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,381,558
2 | 56, 381, 558 |
3 | 28, 381, 279 |
28, 127, 93 |
∴ So the LCM of the given numbers is 2 x 3 x 28 x 127 x 93 = 1984248
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 56,381,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,381,558) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(56,381,558) x common factors =1 x 6 = 6
LCM(56,381,558) = ( 56 × 381 × 558 ) / 6
LCM(56,381,558) = 11905488 / 6
LCM(56,381,558) = 1984248
Lets's calculate GCF of 40,41,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1984248/1
Therefore the LCM of Fractions 56/40,381/41,558/807 is 1984248
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 40,41,807 . The biggest common factor number is the GCF number.
So the greatest common factor 40,41,807 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 56/40, 381/41, 558/807?
Answer: LCM of Numerators as per given numbers 56/40, 381/41, 558/807 is
LCM of Numerators i.e. for 56,381,558 is 1984248
GCF of denominators i.e. for 40,41,807 is 1.
Thus, LCM of Fractions is 1984248.Finally, LCM of Fractions for 56/40, 381/41, 558/807 is 1984248.