Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/570, 82/986 quickly i.e. 1148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/570, 82/986 is 1148.
LCM(56/570, 82/986) = 1148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/570,82/986
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 56,82
Least Common Multiple of Numerators i.e. LCM of 56,82 is 2296.
GCF of Denominators means GCF of 570,986 as per the given fractions.
GCF of 570,986 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,82
2 | 56, 82 |
28, 41 |
∴ So the LCM of the given numbers is 2 x 28 x 41 = 2296
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 56,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,82) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(56,82) x common factors =2 x 1 = 2
LCM(56,82) = ( 56 × 82 ) / 2
LCM(56,82) = 4592 / 2
LCM(56,82) = 2296
Lets's calculate GCF of 570,986
2 | 570, 986 |
285, 493 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2296/2
Therefore the LCM of Fractions 56/570,82/986 is 1148
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 570,986 . The biggest common factor number is the GCF number.
So the greatest common factor 570,986 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 56/570, 82/986?
Answer: LCM of Numerators as per given numbers 56/570, 82/986 is
LCM of Numerators i.e. for 56,82 is 2296
GCF of denominators i.e. for 570,986 is 2.
Thus, LCM of Fractions is 1148.Finally, LCM of Fractions for 56/570, 82/986 is 1148.