Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/85, 4/13, 84/63, 32/588 quickly i.e. 672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/85, 4/13, 84/63, 32/588 is 672.
LCM(8/85, 4/13, 84/63, 32/588) = 672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/85,4/13,84/63,32/588
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 8,4,84,32
Least Common Multiple of Numerators i.e. LCM of 8,4,84,32 is 672.
GCF of Denominators means GCF of 85,13,63,588 as per the given fractions.
GCF of 85,13,63,588 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,4,84,32
2 | 8, 4, 84, 32 |
2 | 4, 2, 42, 16 |
2 | 1, 2, 21, 8 |
1, 1, 21, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 21 x 4 = 672
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 8,4,84,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,4,84,32) = 4
common factors(in case of two or more numbers have common factors) = 32
GCF(8,4,84,32) x common factors =4 x 32 = 128
LCM(8,4,84,32) = ( 8 × 4 × 84 × 32 ) / 128
LCM(8,4,84,32) = 86016 / 128
LCM(8,4,84,32) = 672
Lets's calculate GCF of 85,13,63,588
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672/1
Therefore the LCM of Fractions 8/85,4/13,84/63,32/588 is 672
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 85,13,63,588 . The biggest common factor number is the GCF number.
So the greatest common factor 85,13,63,588 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 8/85, 4/13, 84/63, 32/588?
Answer: LCM of Numerators as per given numbers 8/85, 4/13, 84/63, 32/588 is
LCM of Numerators i.e. for 8,4,84,32 is 672
GCF of denominators i.e. for 85,13,63,588 is 1.
Thus, LCM of Fractions is 672.Finally, LCM of Fractions for 8/85, 4/13, 84/63, 32/588 is 672.