Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/83, 8/56, 55/57, 83/880 quickly i.e. 36520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/83, 8/56, 55/57, 83/880 is 36520.
LCM(2/83, 8/56, 55/57, 83/880) = 36520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/83,8/56,55/57,83/880
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 2,8,55,83
Least Common Multiple of Numerators i.e. LCM of 2,8,55,83 is 36520.
GCF of Denominators means GCF of 83,56,57,880 as per the given fractions.
GCF of 83,56,57,880 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,8,55,83
2 | 2, 8, 55, 83 |
1, 4, 55, 83 |
∴ So the LCM of the given numbers is 2 x 1 x 4 x 55 x 83 = 36520
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 2,8,55,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,8,55,83) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,8,55,83) x common factors =1 x 2 = 2
LCM(2,8,55,83) = ( 2 × 8 × 55 × 83 ) / 2
LCM(2,8,55,83) = 73040 / 2
LCM(2,8,55,83) = 36520
Lets's calculate GCF of 83,56,57,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36520/1
Therefore the LCM of Fractions 2/83,8/56,55/57,83/880 is 36520
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
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 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 83,56,57,880 . The biggest common factor number is the GCF number.
So the greatest common factor 83,56,57,880 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 2/83, 8/56, 55/57, 83/880?
Answer: LCM of Numerators as per given numbers 2/83, 8/56, 55/57, 83/880 is
LCM of Numerators i.e. for 2,8,55,83 is 36520
GCF of denominators i.e. for 83,56,57,880 is 1.
Thus, LCM of Fractions is 36520.Finally, LCM of Fractions for 2/83, 8/56, 55/57, 83/880 is 36520.