Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5466/291, 2754/501 quickly i.e. 836298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5466/291, 2754/501 is 836298.
LCM(5466/291, 2754/501) = 836298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5466/291,2754/501
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 5466,2754
Least Common Multiple of Numerators i.e. LCM of 5466,2754 is 2508894.
GCF of Denominators means GCF of 291,501 as per the given fractions.
GCF of 291,501 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5466,2754
2 | 5466, 2754 |
3 | 2733, 1377 |
911, 459 |
∴ So the LCM of the given numbers is 2 x 3 x 911 x 459 = 2508894
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 5466,2754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5466,2754) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(5466,2754) x common factors =6 x 1 = 6
LCM(5466,2754) = ( 5466 × 2754 ) / 6
LCM(5466,2754) = 15053364 / 6
LCM(5466,2754) = 2508894
Lets's calculate GCF of 291,501
3 | 291, 501 |
97, 167 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2508894/3
Therefore the LCM of Fractions 5466/291,2754/501 is 836298
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors 291,501 . The biggest common factor number is the GCF number.
So the greatest common factor 291,501 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 5466/291, 2754/501?
Answer: LCM of Numerators as per given numbers 5466/291, 2754/501 is
LCM of Numerators i.e. for 5466,2754 is 2508894
GCF of denominators i.e. for 291,501 is 3.
Thus, LCM of Fractions is 836298.Finally, LCM of Fractions for 5466/291, 2754/501 is 836298.