Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/520, 655/483, 393/469 quickly i.e. 192570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/520, 655/483, 393/469 is 192570.
LCM(98/520, 655/483, 393/469) = 192570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/520,655/483,393/469
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 98,655,393
Least Common Multiple of Numerators i.e. LCM of 98,655,393 is 192570.
GCF of Denominators means GCF of 520,483,469 as per the given fractions.
GCF of 520,483,469 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,655,393
131 | 98, 655, 393 |
98, 5, 3 |
∴ So the LCM of the given numbers is 131 x 98 x 5 x 3 = 192570
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 98,655,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,655,393) = 1
common factors(in case of two or more numbers have common factors) = 131
GCF(98,655,393) x common factors =1 x 131 = 131
LCM(98,655,393) = ( 98 × 655 × 393 ) / 131
LCM(98,655,393) = 25226670 / 131
LCM(98,655,393) = 192570
Lets's calculate GCF of 520,483,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192570/1
Therefore the LCM of Fractions 98/520,655/483,393/469 is 192570
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 520,483,469 . The biggest common factor number is the GCF number.
So the greatest common factor 520,483,469 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 98/520, 655/483, 393/469?
Answer: LCM of Numerators as per given numbers 98/520, 655/483, 393/469 is
LCM of Numerators i.e. for 98,655,393 is 192570
GCF of denominators i.e. for 520,483,469 is 1.
Thus, LCM of Fractions is 192570.Finally, LCM of Fractions for 98/520, 655/483, 393/469 is 192570.