Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/880, 20/674, 452/581 quickly i.e. 97180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/880, 20/674, 452/581 is 97180.
LCM(86/880, 20/674, 452/581) = 97180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/880,20/674,452/581
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 86,20,452
Least Common Multiple of Numerators i.e. LCM of 86,20,452 is 97180.
GCF of Denominators means GCF of 880,674,581 as per the given fractions.
GCF of 880,674,581 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,20,452
2 | 86, 20, 452 |
2 | 43, 10, 226 |
43, 5, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 5 x 113 = 97180
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 86,20,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,20,452) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(86,20,452) x common factors =2 x 4 = 8
LCM(86,20,452) = ( 86 × 20 × 452 ) / 8
LCM(86,20,452) = 777440 / 8
LCM(86,20,452) = 97180
Lets's calculate GCF of 880,674,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97180/1
Therefore the LCM of Fractions 86/880,20/674,452/581 is 97180
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
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 880,674,581 . The biggest common factor number is the GCF number.
So the greatest common factor 880,674,581 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 86/880, 20/674, 452/581?
Answer: LCM of Numerators as per given numbers 86/880, 20/674, 452/581 is
LCM of Numerators i.e. for 86,20,452 is 97180
GCF of denominators i.e. for 880,674,581 is 1.
Thus, LCM of Fractions is 97180.Finally, LCM of Fractions for 86/880, 20/674, 452/581 is 97180.