Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/604, 88/159, 798/592 quickly i.e. 175560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/604, 88/159, 798/592 is 175560.
LCM(10/604, 88/159, 798/592) = 175560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/604,88/159,798/592
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 10,88,798
Least Common Multiple of Numerators i.e. LCM of 10,88,798 is 175560.
GCF of Denominators means GCF of 604,159,592 as per the given fractions.
GCF of 604,159,592 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,88,798
2 | 10, 88, 798 |
5, 44, 399 |
∴ So the LCM of the given numbers is 2 x 5 x 44 x 399 = 175560
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 10,88,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,88,798) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(10,88,798) x common factors =2 x 2 = 4
LCM(10,88,798) = ( 10 × 88 × 798 ) / 4
LCM(10,88,798) = 702240 / 4
LCM(10,88,798) = 175560
Lets's calculate GCF of 604,159,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175560/1
Therefore the LCM of Fractions 10/604,88/159,798/592 is 175560
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
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 604,159,592 . The biggest common factor number is the GCF number.
So the greatest common factor 604,159,592 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 10/604, 88/159, 798/592?
Answer: LCM of Numerators as per given numbers 10/604, 88/159, 798/592 is
LCM of Numerators i.e. for 10,88,798 is 175560
GCF of denominators i.e. for 604,159,592 is 1.
Thus, LCM of Fractions is 175560.Finally, LCM of Fractions for 10/604, 88/159, 798/592 is 175560.