Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 870/481, 922/884 quickly i.e. 401070/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 870/481, 922/884 is 401070/13.
LCM(870/481, 922/884) = 401070/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 870/481,922/884
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 870,922
Least Common Multiple of Numerators i.e. LCM of 870,922 is 401070.
GCF of Denominators means GCF of 481,884 as per the given fractions.
GCF of 481,884 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 870,922
2 | 870, 922 |
435, 461 |
∴ So the LCM of the given numbers is 2 x 435 x 461 = 401070
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 870,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(870,922) x common factors =2 x 1 = 2
LCM(870,922) = ( 870 × 922 ) / 2
LCM(870,922) = 802140 / 2
LCM(870,922) = 401070
Lets's calculate GCF of 481,884
13 | 481, 884 |
37, 68 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401070/13
Therefore the LCM of Fractions 870/481,922/884 is 401070/13
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 481,884 . The biggest common factor number is the GCF number.
So the greatest common factor 481,884 is 13.
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 870/481, 922/884?
Answer: LCM of Numerators as per given numbers 870/481, 922/884 is
LCM of Numerators i.e. for 870,922 is 401070
GCF of denominators i.e. for 481,884 is 13.
Thus, LCM of Fractions is 401070/13.Finally, LCM of Fractions for 870/481, 922/884 is 401070/13.