Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 892/436, 820/578 quickly i.e. 91430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 892/436, 820/578 is 91430.
LCM(892/436, 820/578) = 91430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 892/436,820/578
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 892,820
Least Common Multiple of Numerators i.e. LCM of 892,820 is 182860.
GCF of Denominators means GCF of 436,578 as per the given fractions.
GCF of 436,578 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 892,820
2 | 892, 820 |
2 | 446, 410 |
223, 205 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 205 = 182860
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 892,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,820) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,820) x common factors =4 x 1 = 4
LCM(892,820) = ( 892 × 820 ) / 4
LCM(892,820) = 731440 / 4
LCM(892,820) = 182860
Lets's calculate GCF of 436,578
2 | 436, 578 |
218, 289 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182860/2
Therefore the LCM of Fractions 892/436,820/578 is 91430
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 436,578 . The biggest common factor number is the GCF number.
So the greatest common factor 436,578 is 2.
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 892/436, 820/578?
Answer: LCM of Numerators as per given numbers 892/436, 820/578 is
LCM of Numerators i.e. for 892,820 is 182860
GCF of denominators i.e. for 436,578 is 2.
Thus, LCM of Fractions is 91430.Finally, LCM of Fractions for 892/436, 820/578 is 91430.