Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/36, 4029/936 quickly i.e. 2638995/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/36, 4029/936 is 2638995/36.
LCM(655/36, 4029/936) = 2638995/36
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/36,4029/936
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 655,4029
Least Common Multiple of Numerators i.e. LCM of 655,4029 is 2638995.
GCF of Denominators means GCF of 36,936 as per the given fractions.
GCF of 36,936 is 36 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,4029
Given numbers has no common factors except 1. So, there LCM is their product i.e 2638995
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 655,4029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,4029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,4029) x common factors =1 x 1 = 1
LCM(655,4029) = ( 655 × 4029 ) / 1
LCM(655,4029) = 2638995 / 1
LCM(655,4029) = 2638995
Lets's calculate GCF of 36,936
2 | 36, 936 |
2 | 18, 468 |
3 | 9, 234 |
3 | 3, 78 |
1, 26 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2638995/36
Therefore the LCM of Fractions 655/36,4029/936 is 2638995/36
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 36,936 . The biggest common factor number is the GCF number.
So the greatest common factor 36,936 is 36.
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 655/36, 4029/936?
Answer: LCM of Numerators as per given numbers 655/36, 4029/936 is
LCM of Numerators i.e. for 655,4029 is 2638995
GCF of denominators i.e. for 36,936 is 36.
Thus, LCM of Fractions is 2638995/36.Finally, LCM of Fractions for 655/36, 4029/936 is 2638995/36.