Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 126/291, 3538/453 quickly i.e. 74298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 126/291, 3538/453 is 74298.
LCM(126/291, 3538/453) = 74298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 126/291,3538/453
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 126,3538
Least Common Multiple of Numerators i.e. LCM of 126,3538 is 222894.
GCF of Denominators means GCF of 291,453 as per the given fractions.
GCF of 291,453 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 126,3538
2 | 126, 3538 |
63, 1769 |
∴ So the LCM of the given numbers is 2 x 63 x 1769 = 222894
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 126,3538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,3538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(126,3538) x common factors =2 x 1 = 2
LCM(126,3538) = ( 126 × 3538 ) / 2
LCM(126,3538) = 445788 / 2
LCM(126,3538) = 222894
Lets's calculate GCF of 291,453
3 | 291, 453 |
97, 151 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222894/3
Therefore the LCM of Fractions 126/291,3538/453 is 74298
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 291,453 . The biggest common factor number is the GCF number.
So the greatest common factor 291,453 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 126/291, 3538/453?
Answer: LCM of Numerators as per given numbers 126/291, 3538/453 is
LCM of Numerators i.e. for 126,3538 is 222894
GCF of denominators i.e. for 291,453 is 3.
Thus, LCM of Fractions is 74298.Finally, LCM of Fractions for 126/291, 3538/453 is 74298.