Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6380/155, 3644/828 quickly i.e. 5812180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6380/155, 3644/828 is 5812180.
LCM(6380/155, 3644/828) = 5812180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6380/155,3644/828
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 6380,3644
Least Common Multiple of Numerators i.e. LCM of 6380,3644 is 5812180.
GCF of Denominators means GCF of 155,828 as per the given fractions.
GCF of 155,828 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6380,3644
2 | 6380, 3644 |
2 | 3190, 1822 |
1595, 911 |
∴ So the LCM of the given numbers is 2 x 2 x 1595 x 911 = 5812180
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 6380,3644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6380,3644) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6380,3644) x common factors =4 x 1 = 4
LCM(6380,3644) = ( 6380 × 3644 ) / 4
LCM(6380,3644) = 23248720 / 4
LCM(6380,3644) = 5812180
Lets's calculate GCF of 155,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5812180/1
Therefore the LCM of Fractions 6380/155,3644/828 is 5812180
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 155,828 . The biggest common factor number is the GCF number.
So the greatest common factor 155,828 is 1.
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 6380/155, 3644/828?
Answer: LCM of Numerators as per given numbers 6380/155, 3644/828 is
LCM of Numerators i.e. for 6380,3644 is 5812180
GCF of denominators i.e. for 155,828 is 1.
Thus, LCM of Fractions is 5812180.Finally, LCM of Fractions for 6380/155, 3644/828 is 5812180.