Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 479/510, 3742/651 quickly i.e. 1792418/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 479/510, 3742/651 is 1792418/3.
LCM(479/510, 3742/651) = 1792418/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 479/510,3742/651
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 479,3742
Least Common Multiple of Numerators i.e. LCM of 479,3742 is 1792418.
GCF of Denominators means GCF of 510,651 as per the given fractions.
GCF of 510,651 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 479,3742
Given numbers has no common factors except 1. So, there LCM is their product i.e 1792418
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 479,3742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,3742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,3742) x common factors =1 x 1 = 1
LCM(479,3742) = ( 479 × 3742 ) / 1
LCM(479,3742) = 1792418 / 1
LCM(479,3742) = 1792418
Lets's calculate GCF of 510,651
3 | 510, 651 |
170, 217 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1792418/3
Therefore the LCM of Fractions 479/510,3742/651 is 1792418/3
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 510,651 . The biggest common factor number is the GCF number.
So the greatest common factor 510,651 is 3.
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 479/510, 3742/651?
Answer: LCM of Numerators as per given numbers 479/510, 3742/651 is
LCM of Numerators i.e. for 479,3742 is 1792418
GCF of denominators i.e. for 510,651 is 3.
Thus, LCM of Fractions is 1792418/3.Finally, LCM of Fractions for 479/510, 3742/651 is 1792418/3.