Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 535/888, 4602/592 quickly i.e. 2462070/296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 535/888, 4602/592 is 2462070/296.
LCM(535/888, 4602/592) = 2462070/296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 535/888,4602/592
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 535,4602
Least Common Multiple of Numerators i.e. LCM of 535,4602 is 2462070.
GCF of Denominators means GCF of 888,592 as per the given fractions.
GCF of 888,592 is 296 as it is the largest common factor for these numbers.
Lets's calculate LCM of 535,4602
Given numbers has no common factors except 1. So, there LCM is their product i.e 2462070
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 535,4602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,4602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,4602) x common factors =1 x 1 = 1
LCM(535,4602) = ( 535 × 4602 ) / 1
LCM(535,4602) = 2462070 / 1
LCM(535,4602) = 2462070
Lets's calculate GCF of 888,592
2 | 888, 592 |
2 | 444, 296 |
2 | 222, 148 |
37 | 111, 74 |
3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 37 = 296
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2462070/296
Therefore the LCM of Fractions 535/888,4602/592 is 2462070/296
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 888,592 . The biggest common factor number is the GCF number.
So the greatest common factor 888,592 is 296.
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 535/888, 4602/592?
Answer: LCM of Numerators as per given numbers 535/888, 4602/592 is
LCM of Numerators i.e. for 535,4602 is 2462070
GCF of denominators i.e. for 888,592 is 296.
Thus, LCM of Fractions is 2462070/296.Finally, LCM of Fractions for 535/888, 4602/592 is 2462070/296.