Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 832/636, 864/335, 572/867 quickly i.e. 247104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 832/636, 864/335, 572/867 is 247104.
LCM(832/636, 864/335, 572/867) = 247104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 832/636,864/335,572/867
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 832,864,572
Least Common Multiple of Numerators i.e. LCM of 832,864,572 is 247104.
GCF of Denominators means GCF of 636,335,867 as per the given fractions.
GCF of 636,335,867 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 832,864,572
2 | 832, 864, 572 |
2 | 416, 432, 286 |
2 | 208, 216, 143 |
2 | 104, 108, 143 |
2 | 52, 54, 143 |
13 | 26, 27, 143 |
2, 27, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 2 x 27 x 11 = 247104
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 832,864,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,864,572) = 4
common factors(in case of two or more numbers have common factors) = 416
GCF(832,864,572) x common factors =4 x 416 = 1664
LCM(832,864,572) = ( 832 × 864 × 572 ) / 1664
LCM(832,864,572) = 411181056 / 1664
LCM(832,864,572) = 247104
Lets's calculate GCF of 636,335,867
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247104/1
Therefore the LCM of Fractions 832/636,864/335,572/867 is 247104
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 636,335,867 . The biggest common factor number is the GCF number.
So the greatest common factor 636,335,867 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 832/636, 864/335, 572/867?
Answer: LCM of Numerators as per given numbers 832/636, 864/335, 572/867 is
LCM of Numerators i.e. for 832,864,572 is 247104
GCF of denominators i.e. for 636,335,867 is 1.
Thus, LCM of Fractions is 247104.Finally, LCM of Fractions for 832/636, 864/335, 572/867 is 247104.