Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/974, 220/805, 285/694 quickly i.e. 539220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/974, 220/805, 285/694 is 539220.
LCM(86/974, 220/805, 285/694) = 539220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/974,220/805,285/694
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 86,220,285
Least Common Multiple of Numerators i.e. LCM of 86,220,285 is 539220.
GCF of Denominators means GCF of 974,805,694 as per the given fractions.
GCF of 974,805,694 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,220,285
2 | 86, 220, 285 |
5 | 43, 110, 285 |
43, 22, 57 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 22 x 57 = 539220
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 86,220,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,220,285) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(86,220,285) x common factors =1 x 10 = 10
LCM(86,220,285) = ( 86 × 220 × 285 ) / 10
LCM(86,220,285) = 5392200 / 10
LCM(86,220,285) = 539220
Lets's calculate GCF of 974,805,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 539220/1
Therefore the LCM of Fractions 86/974,220/805,285/694 is 539220
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 974,805,694 . The biggest common factor number is the GCF number.
So the greatest common factor 974,805,694 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 86/974, 220/805, 285/694?
Answer: LCM of Numerators as per given numbers 86/974, 220/805, 285/694 is
LCM of Numerators i.e. for 86,220,285 is 539220
GCF of denominators i.e. for 974,805,694 is 1.
Thus, LCM of Fractions is 539220.Finally, LCM of Fractions for 86/974, 220/805, 285/694 is 539220.