Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/672, 87/792 quickly i.e. 5133/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/672, 87/792 is 5133/24.
LCM(59/672, 87/792) = 5133/24
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/672,87/792
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 59,87
Least Common Multiple of Numerators i.e. LCM of 59,87 is 5133.
GCF of Denominators means GCF of 672,792 as per the given fractions.
GCF of 672,792 is 24 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,87
Given numbers has no common factors except 1. So, there LCM is their product i.e 5133
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 59,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,87) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,87) x common factors =1 x 1 = 1
LCM(59,87) = ( 59 × 87 ) / 1
LCM(59,87) = 5133 / 1
LCM(59,87) = 5133
Lets's calculate GCF of 672,792
2 | 672, 792 |
2 | 336, 396 |
2 | 168, 198 |
3 | 84, 99 |
28, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5133/24
Therefore the LCM of Fractions 59/672,87/792 is 5133/24
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 672,792 . The biggest common factor number is the GCF number.
So the greatest common factor 672,792 is 24.
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 59/672, 87/792?
Answer: LCM of Numerators as per given numbers 59/672, 87/792 is
LCM of Numerators i.e. for 59,87 is 5133
GCF of denominators i.e. for 672,792 is 24.
Thus, LCM of Fractions is 5133/24.Finally, LCM of Fractions for 59/672, 87/792 is 5133/24.