Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/835, 295/487, 897/649 quickly i.e. 14818440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/835, 295/487, 897/649 is 14818440.
LCM(56/835, 295/487, 897/649) = 14818440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/835,295/487,897/649
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 56,295,897
Least Common Multiple of Numerators i.e. LCM of 56,295,897 is 14818440.
GCF of Denominators means GCF of 835,487,649 as per the given fractions.
GCF of 835,487,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,295,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 14818440
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 56,295,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,295,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,295,897) x common factors =1 x 1 = 1
LCM(56,295,897) = ( 56 × 295 × 897 ) / 1
LCM(56,295,897) = 14818440 / 1
LCM(56,295,897) = 14818440
Lets's calculate GCF of 835,487,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14818440/1
Therefore the LCM of Fractions 56/835,295/487,897/649 is 14818440
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 835,487,649 . The biggest common factor number is the GCF number.
So the greatest common factor 835,487,649 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 56/835, 295/487, 897/649?
Answer: LCM of Numerators as per given numbers 56/835, 295/487, 897/649 is
LCM of Numerators i.e. for 56,295,897 is 14818440
GCF of denominators i.e. for 835,487,649 is 1.
Thus, LCM of Fractions is 14818440.Finally, LCM of Fractions for 56/835, 295/487, 897/649 is 14818440.