Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/16, 162/48, 369/507 quickly i.e. 4350510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/16, 162/48, 369/507 is 4350510.
LCM(655/16, 162/48, 369/507) = 4350510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/16,162/48,369/507
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 655,162,369
Least Common Multiple of Numerators i.e. LCM of 655,162,369 is 4350510.
GCF of Denominators means GCF of 16,48,507 as per the given fractions.
GCF of 16,48,507 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,162,369
3 | 655, 162, 369 |
3 | 655, 54, 123 |
655, 18, 41 |
∴ So the LCM of the given numbers is 3 x 3 x 655 x 18 x 41 = 4350510
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 655,162,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,162,369) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(655,162,369) x common factors =1 x 9 = 9
LCM(655,162,369) = ( 655 × 162 × 369 ) / 9
LCM(655,162,369) = 39154590 / 9
LCM(655,162,369) = 4350510
Lets's calculate GCF of 16,48,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4350510/1
Therefore the LCM of Fractions 655/16,162/48,369/507 is 4350510
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 16,48,507 . The biggest common factor number is the GCF number.
So the greatest common factor 16,48,507 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 655/16, 162/48, 369/507?
Answer: LCM of Numerators as per given numbers 655/16, 162/48, 369/507 is
LCM of Numerators i.e. for 655,162,369 is 4350510
GCF of denominators i.e. for 16,48,507 is 1.
Thus, LCM of Fractions is 4350510.Finally, LCM of Fractions for 655/16, 162/48, 369/507 is 4350510.