Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 681/438, 762/836 quickly i.e. 86487 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 681/438, 762/836 is 86487.
LCM(681/438, 762/836) = 86487
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 681/438,762/836
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 681,762
Least Common Multiple of Numerators i.e. LCM of 681,762 is 172974.
GCF of Denominators means GCF of 438,836 as per the given fractions.
GCF of 438,836 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 681,762
3 | 681, 762 |
227, 254 |
∴ So the LCM of the given numbers is 3 x 227 x 254 = 172974
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 681,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,762) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,762) x common factors =3 x 1 = 3
LCM(681,762) = ( 681 × 762 ) / 3
LCM(681,762) = 518922 / 3
LCM(681,762) = 172974
Lets's calculate GCF of 438,836
2 | 438, 836 |
219, 418 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172974/2
Therefore the LCM of Fractions 681/438,762/836 is 86487
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 438,836 . The biggest common factor number is the GCF number.
So the greatest common factor 438,836 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 681/438, 762/836?
Answer: LCM of Numerators as per given numbers 681/438, 762/836 is
LCM of Numerators i.e. for 681,762 is 172974
GCF of denominators i.e. for 438,836 is 2.
Thus, LCM of Fractions is 86487.Finally, LCM of Fractions for 681/438, 762/836 is 86487.