Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/686, 86/442, 918/362 quickly i.e. 611847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/686, 86/442, 918/362 is 611847.
LCM(62/686, 86/442, 918/362) = 611847
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/686,86/442,918/362
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 62,86,918
Least Common Multiple of Numerators i.e. LCM of 62,86,918 is 1223694.
GCF of Denominators means GCF of 686,442,362 as per the given fractions.
GCF of 686,442,362 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,86,918
2 | 62, 86, 918 |
31, 43, 459 |
∴ So the LCM of the given numbers is 2 x 31 x 43 x 459 = 1223694
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 62,86,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,86,918) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,86,918) x common factors =2 x 2 = 4
LCM(62,86,918) = ( 62 × 86 × 918 ) / 4
LCM(62,86,918) = 4894776 / 4
LCM(62,86,918) = 1223694
Lets's calculate GCF of 686,442,362
2 | 686, 442, 362 |
343, 221, 181 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1223694/2
Therefore the LCM of Fractions 62/686,86/442,918/362 is 611847
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 686,442,362 . The biggest common factor number is the GCF number.
So the greatest common factor 686,442,362 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 62/686, 86/442, 918/362?
Answer: LCM of Numerators as per given numbers 62/686, 86/442, 918/362 is
LCM of Numerators i.e. for 62,86,918 is 1223694
GCF of denominators i.e. for 686,442,362 is 2.
Thus, LCM of Fractions is 611847.Finally, LCM of Fractions for 62/686, 86/442, 918/362 is 611847.