Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 844/465, 8036/870 quickly i.e. 1695596/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 844/465, 8036/870 is 1695596/15.
LCM(844/465, 8036/870) = 1695596/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 844/465,8036/870
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 844,8036
Least Common Multiple of Numerators i.e. LCM of 844,8036 is 1695596.
GCF of Denominators means GCF of 465,870 as per the given fractions.
GCF of 465,870 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 844,8036
2 | 844, 8036 |
2 | 422, 4018 |
211, 2009 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 2009 = 1695596
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 844,8036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,8036) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,8036) x common factors =4 x 1 = 4
LCM(844,8036) = ( 844 × 8036 ) / 4
LCM(844,8036) = 6782384 / 4
LCM(844,8036) = 1695596
Lets's calculate GCF of 465,870
3 | 465, 870 |
5 | 155, 290 |
31, 58 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1695596/15
Therefore the LCM of Fractions 844/465,8036/870 is 1695596/15
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 465,870 . The biggest common factor number is the GCF number.
So the greatest common factor 465,870 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 844/465, 8036/870?
Answer: LCM of Numerators as per given numbers 844/465, 8036/870 is
LCM of Numerators i.e. for 844,8036 is 1695596
GCF of denominators i.e. for 465,870 is 15.
Thus, LCM of Fractions is 1695596/15.Finally, LCM of Fractions for 844/465, 8036/870 is 1695596/15.