Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/213, 74/482, 698/564 quickly i.e. 335738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/213, 74/482, 698/564 is 335738.
LCM(13/213, 74/482, 698/564) = 335738
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/213,74/482,698/564
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 13,74,698
Least Common Multiple of Numerators i.e. LCM of 13,74,698 is 335738.
GCF of Denominators means GCF of 213,482,564 as per the given fractions.
GCF of 213,482,564 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,74,698
2 | 13, 74, 698 |
13, 37, 349 |
∴ So the LCM of the given numbers is 2 x 13 x 37 x 349 = 335738
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 13,74,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,74,698) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(13,74,698) x common factors =1 x 2 = 2
LCM(13,74,698) = ( 13 × 74 × 698 ) / 2
LCM(13,74,698) = 671476 / 2
LCM(13,74,698) = 335738
Lets's calculate GCF of 213,482,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335738/1
Therefore the LCM of Fractions 13/213,74/482,698/564 is 335738
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 213,482,564 . The biggest common factor number is the GCF number.
So the greatest common factor 213,482,564 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 13/213, 74/482, 698/564?
Answer: LCM of Numerators as per given numbers 13/213, 74/482, 698/564 is
LCM of Numerators i.e. for 13,74,698 is 335738
GCF of denominators i.e. for 213,482,564 is 1.
Thus, LCM of Fractions is 335738.Finally, LCM of Fractions for 13/213, 74/482, 698/564 is 335738.