Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/79, 576/99, 291/552 quickly i.e. 55872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/79, 576/99, 291/552 is 55872.
LCM(97/79, 576/99, 291/552) = 55872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/79,576/99,291/552
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 97,576,291
Least Common Multiple of Numerators i.e. LCM of 97,576,291 is 55872.
GCF of Denominators means GCF of 79,99,552 as per the given fractions.
GCF of 79,99,552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,576,291
3 | 97, 576, 291 |
97 | 97, 192, 97 |
1, 192, 1 |
∴ So the LCM of the given numbers is 3 x 97 x 1 x 192 x 1 = 55872
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 97,576,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,576,291) = 1
common factors(in case of two or more numbers have common factors) = 291
GCF(97,576,291) x common factors =1 x 291 = 291
LCM(97,576,291) = ( 97 × 576 × 291 ) / 291
LCM(97,576,291) = 16258752 / 291
LCM(97,576,291) = 55872
Lets's calculate GCF of 79,99,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55872/1
Therefore the LCM of Fractions 97/79,576/99,291/552 is 55872
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 79,99,552 . The biggest common factor number is the GCF number.
So the greatest common factor 79,99,552 is 1.
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 97/79, 576/99, 291/552?
Answer: LCM of Numerators as per given numbers 97/79, 576/99, 291/552 is
LCM of Numerators i.e. for 97,576,291 is 55872
GCF of denominators i.e. for 79,99,552 is 1.
Thus, LCM of Fractions is 55872.Finally, LCM of Fractions for 97/79, 576/99, 291/552 is 55872.