Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/55, 243/67, 564/370 quickly i.e. 45684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/55, 243/67, 564/370 is 45684.
LCM(36/55, 243/67, 564/370) = 45684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/55,243/67,564/370
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 36,243,564
Least Common Multiple of Numerators i.e. LCM of 36,243,564 is 45684.
GCF of Denominators means GCF of 55,67,370 as per the given fractions.
GCF of 55,67,370 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,243,564
2 | 36, 243, 564 |
2 | 18, 243, 282 |
3 | 9, 243, 141 |
3 | 3, 81, 47 |
1, 27, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 27 x 47 = 45684
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 36,243,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,243,564) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(36,243,564) x common factors =3 x 36 = 108
LCM(36,243,564) = ( 36 × 243 × 564 ) / 108
LCM(36,243,564) = 4933872 / 108
LCM(36,243,564) = 45684
Lets's calculate GCF of 55,67,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45684/1
Therefore the LCM of Fractions 36/55,243/67,564/370 is 45684
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 55,67,370 . The biggest common factor number is the GCF number.
So the greatest common factor 55,67,370 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 36/55, 243/67, 564/370?
Answer: LCM of Numerators as per given numbers 36/55, 243/67, 564/370 is
LCM of Numerators i.e. for 36,243,564 is 45684
GCF of denominators i.e. for 55,67,370 is 1.
Thus, LCM of Fractions is 45684.Finally, LCM of Fractions for 36/55, 243/67, 564/370 is 45684.