Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/72, 88/603, 691/896 quickly i.e. 5290296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/72, 88/603, 691/896 is 5290296.
LCM(87/72, 88/603, 691/896) = 5290296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/72,88/603,691/896
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 87,88,691
Least Common Multiple of Numerators i.e. LCM of 87,88,691 is 5290296.
GCF of Denominators means GCF of 72,603,896 as per the given fractions.
GCF of 72,603,896 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,88,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 5290296
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 87,88,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,88,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,88,691) x common factors =1 x 1 = 1
LCM(87,88,691) = ( 87 × 88 × 691 ) / 1
LCM(87,88,691) = 5290296 / 1
LCM(87,88,691) = 5290296
Lets's calculate GCF of 72,603,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5290296/1
Therefore the LCM of Fractions 87/72,88/603,691/896 is 5290296
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 72,603,896 . The biggest common factor number is the GCF number.
So the greatest common factor 72,603,896 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 87/72, 88/603, 691/896?
Answer: LCM of Numerators as per given numbers 87/72, 88/603, 691/896 is
LCM of Numerators i.e. for 87,88,691 is 5290296
GCF of denominators i.e. for 72,603,896 is 1.
Thus, LCM of Fractions is 5290296.Finally, LCM of Fractions for 87/72, 88/603, 691/896 is 5290296.