Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 536/371, 3536/8904 quickly i.e. 236912/371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 536/371, 3536/8904 is 236912/371.
LCM(536/371, 3536/8904) = 236912/371
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 536/371,3536/8904
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 536,3536
Least Common Multiple of Numerators i.e. LCM of 536,3536 is 236912.
GCF of Denominators means GCF of 371,8904 as per the given fractions.
GCF of 371,8904 is 371 as it is the largest common factor for these numbers.
Lets's calculate LCM of 536,3536
2 | 536, 3536 |
2 | 268, 1768 |
2 | 134, 884 |
67, 442 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 442 = 236912
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 536,3536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,3536) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(536,3536) x common factors =8 x 1 = 8
LCM(536,3536) = ( 536 × 3536 ) / 8
LCM(536,3536) = 1895296 / 8
LCM(536,3536) = 236912
Lets's calculate GCF of 371,8904
7 | 371, 8904 |
53 | 53, 1272 |
1, 24 |
∴ So the GCF of the given numbers is 7 x 53 = 371
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236912/371
Therefore the LCM of Fractions 536/371,3536/8904 is 236912/371
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 8904
List of positive integer factors of 8904 that divides 8904 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904
Greatest Common Factor
We found the factors 371,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 371,8904 is 371.
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 536/371, 3536/8904?
Answer: LCM of Numerators as per given numbers 536/371, 3536/8904 is
LCM of Numerators i.e. for 536,3536 is 236912
GCF of denominators i.e. for 371,8904 is 371.
Thus, LCM of Fractions is 236912/371.Finally, LCM of Fractions for 536/371, 3536/8904 is 236912/371.