Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/885, 8636/795 quickly i.e. 1450848/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/885, 8636/795 is 1450848/15.
LCM(672/885, 8636/795) = 1450848/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/885,8636/795
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 672,8636
Least Common Multiple of Numerators i.e. LCM of 672,8636 is 1450848.
GCF of Denominators means GCF of 885,795 as per the given fractions.
GCF of 885,795 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,8636
2 | 672, 8636 |
2 | 336, 4318 |
168, 2159 |
∴ So the LCM of the given numbers is 2 x 2 x 168 x 2159 = 1450848
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 672,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,8636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(672,8636) x common factors =4 x 1 = 4
LCM(672,8636) = ( 672 × 8636 ) / 4
LCM(672,8636) = 5803392 / 4
LCM(672,8636) = 1450848
Lets's calculate GCF of 885,795
3 | 885, 795 |
5 | 295, 265 |
59, 53 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1450848/15
Therefore the LCM of Fractions 672/885,8636/795 is 1450848/15
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 885,795 . The biggest common factor number is the GCF number.
So the greatest common factor 885,795 is 15.
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 672/885, 8636/795?
Answer: LCM of Numerators as per given numbers 672/885, 8636/795 is
LCM of Numerators i.e. for 672,8636 is 1450848
GCF of denominators i.e. for 885,795 is 15.
Thus, LCM of Fractions is 1450848/15.Finally, LCM of Fractions for 672/885, 8636/795 is 1450848/15.