Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3519/156, 5436/4551 quickly i.e. 708492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3519/156, 5436/4551 is 708492.
LCM(3519/156, 5436/4551) = 708492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3519/156,5436/4551
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 3519,5436
Least Common Multiple of Numerators i.e. LCM of 3519,5436 is 2125476.
GCF of Denominators means GCF of 156,4551 as per the given fractions.
GCF of 156,4551 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3519,5436
3 | 3519, 5436 |
3 | 1173, 1812 |
391, 604 |
∴ So the LCM of the given numbers is 3 x 3 x 391 x 604 = 2125476
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 3519,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3519,5436) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(3519,5436) x common factors =9 x 1 = 9
LCM(3519,5436) = ( 3519 × 5436 ) / 9
LCM(3519,5436) = 19129284 / 9
LCM(3519,5436) = 2125476
Lets's calculate GCF of 156,4551
3 | 156, 4551 |
52, 1517 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2125476/3
Therefore the LCM of Fractions 3519/156,5436/4551 is 708492
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 4551
List of positive integer factors of 4551 that divides 4551 without a remainder.
1,3,37,41,111,123,1517,4551
Greatest Common Factor
We found the factors 156,4551 . The biggest common factor number is the GCF number.
So the greatest common factor 156,4551 is 3.
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 3519/156, 5436/4551?
Answer: LCM of Numerators as per given numbers 3519/156, 5436/4551 is
LCM of Numerators i.e. for 3519,5436 is 2125476
GCF of denominators i.e. for 156,4551 is 3.
Thus, LCM of Fractions is 708492.Finally, LCM of Fractions for 3519/156, 5436/4551 is 708492.