Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/602, 195/588, 324/304 quickly i.e. 642330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/602, 195/588, 324/304 is 642330.
LCM(61/602, 195/588, 324/304) = 642330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/602,195/588,324/304
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 61,195,324
Least Common Multiple of Numerators i.e. LCM of 61,195,324 is 1284660.
GCF of Denominators means GCF of 602,588,304 as per the given fractions.
GCF of 602,588,304 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,195,324
3 | 61, 195, 324 |
61, 65, 108 |
∴ So the LCM of the given numbers is 3 x 61 x 65 x 108 = 1284660
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 61,195,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,195,324) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(61,195,324) x common factors =1 x 3 = 3
LCM(61,195,324) = ( 61 × 195 × 324 ) / 3
LCM(61,195,324) = 3853980 / 3
LCM(61,195,324) = 1284660
Lets's calculate GCF of 602,588,304
2 | 602, 588, 304 |
301, 294, 152 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1284660/2
Therefore the LCM of Fractions 61/602,195/588,324/304 is 642330
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 602,588,304 . The biggest common factor number is the GCF number.
So the greatest common factor 602,588,304 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 61/602, 195/588, 324/304?
Answer: LCM of Numerators as per given numbers 61/602, 195/588, 324/304 is
LCM of Numerators i.e. for 61,195,324 is 1284660
GCF of denominators i.e. for 602,588,304 is 2.
Thus, LCM of Fractions is 642330.Finally, LCM of Fractions for 61/602, 195/588, 324/304 is 642330.