Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/435, 848/248, 535/844 quickly i.e. 44914320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/435, 848/248, 535/844 is 44914320.
LCM(99/435, 848/248, 535/844) = 44914320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/435,848/248,535/844
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 99,848,535
Least Common Multiple of Numerators i.e. LCM of 99,848,535 is 44914320.
GCF of Denominators means GCF of 435,248,844 as per the given fractions.
GCF of 435,248,844 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,848,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 44914320
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 99,848,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,848,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,848,535) x common factors =1 x 1 = 1
LCM(99,848,535) = ( 99 × 848 × 535 ) / 1
LCM(99,848,535) = 44914320 / 1
LCM(99,848,535) = 44914320
Lets's calculate GCF of 435,248,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44914320/1
Therefore the LCM of Fractions 99/435,848/248,535/844 is 44914320
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 435,248,844 . The biggest common factor number is the GCF number.
So the greatest common factor 435,248,844 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 99/435, 848/248, 535/844?
Answer: LCM of Numerators as per given numbers 99/435, 848/248, 535/844 is
LCM of Numerators i.e. for 99,848,535 is 44914320
GCF of denominators i.e. for 435,248,844 is 1.
Thus, LCM of Fractions is 44914320.Finally, LCM of Fractions for 99/435, 848/248, 535/844 is 44914320.