Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5628/177, 3084/385 quickly i.e. 1446396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5628/177, 3084/385 is 1446396.
LCM(5628/177, 3084/385) = 1446396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5628/177,3084/385
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 5628,3084
Least Common Multiple of Numerators i.e. LCM of 5628,3084 is 1446396.
GCF of Denominators means GCF of 177,385 as per the given fractions.
GCF of 177,385 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5628,3084
2 | 5628, 3084 |
2 | 2814, 1542 |
3 | 1407, 771 |
469, 257 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 469 x 257 = 1446396
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 5628,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5628,3084) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(5628,3084) x common factors =12 x 1 = 12
LCM(5628,3084) = ( 5628 × 3084 ) / 12
LCM(5628,3084) = 17356752 / 12
LCM(5628,3084) = 1446396
Lets's calculate GCF of 177,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1446396/1
Therefore the LCM of Fractions 5628/177,3084/385 is 1446396
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 177,385 . The biggest common factor number is the GCF number.
So the greatest common factor 177,385 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 5628/177, 3084/385?
Answer: LCM of Numerators as per given numbers 5628/177, 3084/385 is
LCM of Numerators i.e. for 5628,3084 is 1446396
GCF of denominators i.e. for 177,385 is 1.
Thus, LCM of Fractions is 1446396.Finally, LCM of Fractions for 5628/177, 3084/385 is 1446396.