Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 435/62, 978/61, 715/519 quickly i.e. 20278830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 435/62, 978/61, 715/519 is 20278830.
LCM(435/62, 978/61, 715/519) = 20278830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 435/62,978/61,715/519
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 435,978,715
Least Common Multiple of Numerators i.e. LCM of 435,978,715 is 20278830.
GCF of Denominators means GCF of 62,61,519 as per the given fractions.
GCF of 62,61,519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 435,978,715
3 | 435, 978, 715 |
5 | 145, 326, 715 |
29, 326, 143 |
∴ So the LCM of the given numbers is 3 x 5 x 29 x 326 x 143 = 20278830
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 435,978,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,978,715) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(435,978,715) x common factors =1 x 15 = 15
LCM(435,978,715) = ( 435 × 978 × 715 ) / 15
LCM(435,978,715) = 304182450 / 15
LCM(435,978,715) = 20278830
Lets's calculate GCF of 62,61,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20278830/1
Therefore the LCM of Fractions 435/62,978/61,715/519 is 20278830
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 62,61,519 . The biggest common factor number is the GCF number.
So the greatest common factor 62,61,519 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 435/62, 978/61, 715/519?
Answer: LCM of Numerators as per given numbers 435/62, 978/61, 715/519 is
LCM of Numerators i.e. for 435,978,715 is 20278830
GCF of denominators i.e. for 62,61,519 is 1.
Thus, LCM of Fractions is 20278830.Finally, LCM of Fractions for 435/62, 978/61, 715/519 is 20278830.