Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 588/734, 830/398, 475/664 quickly i.e. 11590950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 588/734, 830/398, 475/664 is 11590950.
LCM(588/734, 830/398, 475/664) = 11590950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 588/734,830/398,475/664
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 588,830,475
Least Common Multiple of Numerators i.e. LCM of 588,830,475 is 23181900.
GCF of Denominators means GCF of 734,398,664 as per the given fractions.
GCF of 734,398,664 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 588,830,475
2 | 588, 830, 475 |
5 | 294, 415, 475 |
294, 83, 95 |
∴ So the LCM of the given numbers is 2 x 5 x 294 x 83 x 95 = 23181900
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 588,830,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,830,475) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(588,830,475) x common factors =1 x 10 = 10
LCM(588,830,475) = ( 588 × 830 × 475 ) / 10
LCM(588,830,475) = 231819000 / 10
LCM(588,830,475) = 23181900
Lets's calculate GCF of 734,398,664
2 | 734, 398, 664 |
367, 199, 332 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23181900/2
Therefore the LCM of Fractions 588/734,830/398,475/664 is 11590950
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 734,398,664 . The biggest common factor number is the GCF number.
So the greatest common factor 734,398,664 is 2.
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 588/734, 830/398, 475/664?
Answer: LCM of Numerators as per given numbers 588/734, 830/398, 475/664 is
LCM of Numerators i.e. for 588,830,475 is 23181900
GCF of denominators i.e. for 734,398,664 is 2.
Thus, LCM of Fractions is 11590950.Finally, LCM of Fractions for 588/734, 830/398, 475/664 is 11590950.