Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 808/870, 835/425 quickly i.e. 134936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 808/870, 835/425 is 134936.
LCM(808/870, 835/425) = 134936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 808/870,835/425
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 808,835
Least Common Multiple of Numerators i.e. LCM of 808,835 is 674680.
GCF of Denominators means GCF of 870,425 as per the given fractions.
GCF of 870,425 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 808,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 674680
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 808,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,835) x common factors =1 x 1 = 1
LCM(808,835) = ( 808 × 835 ) / 1
LCM(808,835) = 674680 / 1
LCM(808,835) = 674680
Lets's calculate GCF of 870,425
5 | 870, 425 |
174, 85 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674680/5
Therefore the LCM of Fractions 808/870,835/425 is 134936
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
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 870,425 . The biggest common factor number is the GCF number.
So the greatest common factor 870,425 is 5.
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 808/870, 835/425?
Answer: LCM of Numerators as per given numbers 808/870, 835/425 is
LCM of Numerators i.e. for 808,835 is 674680
GCF of denominators i.e. for 870,425 is 5.
Thus, LCM of Fractions is 134936.Finally, LCM of Fractions for 808/870, 835/425 is 134936.