Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/688, 3618/5805 quickly i.e. 166428/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/688, 3618/5805 is 166428/43.
LCM(92/688, 3618/5805) = 166428/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/688,3618/5805
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 92,3618
Least Common Multiple of Numerators i.e. LCM of 92,3618 is 166428.
GCF of Denominators means GCF of 688,5805 as per the given fractions.
GCF of 688,5805 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,3618
2 | 92, 3618 |
46, 1809 |
∴ So the LCM of the given numbers is 2 x 46 x 1809 = 166428
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 92,3618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,3618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(92,3618) x common factors =2 x 1 = 2
LCM(92,3618) = ( 92 × 3618 ) / 2
LCM(92,3618) = 332856 / 2
LCM(92,3618) = 166428
Lets's calculate GCF of 688,5805
43 | 688, 5805 |
16, 135 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166428/43
Therefore the LCM of Fractions 92/688,3618/5805 is 166428/43
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 5805
List of positive integer factors of 5805 that divides 5805 without a remainder.
1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Greatest Common Factor
We found the factors 688,5805 . The biggest common factor number is the GCF number.
So the greatest common factor 688,5805 is 43.
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 92/688, 3618/5805?
Answer: LCM of Numerators as per given numbers 92/688, 3618/5805 is
LCM of Numerators i.e. for 92,3618 is 166428
GCF of denominators i.e. for 688,5805 is 43.
Thus, LCM of Fractions is 166428/43.Finally, LCM of Fractions for 92/688, 3618/5805 is 166428/43.