Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/34, 827/92, 343/690 quickly i.e. 12197423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/34, 827/92, 343/690 is 12197423.
LCM(86/34, 827/92, 343/690) = 12197423
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/34,827/92,343/690
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 86,827,343
Least Common Multiple of Numerators i.e. LCM of 86,827,343 is 24394846.
GCF of Denominators means GCF of 34,92,690 as per the given fractions.
GCF of 34,92,690 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,827,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 24394846
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 86,827,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,827,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,827,343) x common factors =1 x 1 = 1
LCM(86,827,343) = ( 86 × 827 × 343 ) / 1
LCM(86,827,343) = 24394846 / 1
LCM(86,827,343) = 24394846
Lets's calculate GCF of 34,92,690
2 | 34, 92, 690 |
17, 46, 345 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24394846/2
Therefore the LCM of Fractions 86/34,827/92,343/690 is 12197423
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 34,92,690 . The biggest common factor number is the GCF number.
So the greatest common factor 34,92,690 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 86/34, 827/92, 343/690?
Answer: LCM of Numerators as per given numbers 86/34, 827/92, 343/690 is
LCM of Numerators i.e. for 86,827,343 is 24394846
GCF of denominators i.e. for 34,92,690 is 2.
Thus, LCM of Fractions is 12197423.Finally, LCM of Fractions for 86/34, 827/92, 343/690 is 12197423.