Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3861/726, 9572/5410 quickly i.e. 18478746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3861/726, 9572/5410 is 18478746.
LCM(3861/726, 9572/5410) = 18478746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3861/726,9572/5410
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 3861,9572
Least Common Multiple of Numerators i.e. LCM of 3861,9572 is 36957492.
GCF of Denominators means GCF of 726,5410 as per the given fractions.
GCF of 726,5410 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3861,9572
Given numbers has no common factors except 1. So, there LCM is their product i.e 36957492
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 3861,9572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3861,9572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3861,9572) x common factors =1 x 1 = 1
LCM(3861,9572) = ( 3861 × 9572 ) / 1
LCM(3861,9572) = 36957492 / 1
LCM(3861,9572) = 36957492
Lets's calculate GCF of 726,5410
2 | 726, 5410 |
363, 2705 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36957492/2
Therefore the LCM of Fractions 3861/726,9572/5410 is 18478746
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 5410
List of positive integer factors of 5410 that divides 5410 without a remainder.
1,2,5,10,541,1082,2705,5410
Greatest Common Factor
We found the factors 726,5410 . The biggest common factor number is the GCF number.
So the greatest common factor 726,5410 is 2.
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 3861/726, 9572/5410?
Answer: LCM of Numerators as per given numbers 3861/726, 9572/5410 is
LCM of Numerators i.e. for 3861,9572 is 36957492
GCF of denominators i.e. for 726,5410 is 2.
Thus, LCM of Fractions is 18478746.Finally, LCM of Fractions for 3861/726, 9572/5410 is 18478746.