Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 557/981, 524/530, 629/398 quickly i.e. 183584972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 557/981, 524/530, 629/398 is 183584972.
LCM(557/981, 524/530, 629/398) = 183584972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 557/981,524/530,629/398
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 557,524,629
Least Common Multiple of Numerators i.e. LCM of 557,524,629 is 183584972.
GCF of Denominators means GCF of 981,530,398 as per the given fractions.
GCF of 981,530,398 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 557,524,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 183584972
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 557,524,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,524,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,524,629) x common factors =1 x 1 = 1
LCM(557,524,629) = ( 557 × 524 × 629 ) / 1
LCM(557,524,629) = 183584972 / 1
LCM(557,524,629) = 183584972
Lets's calculate GCF of 981,530,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183584972/1
Therefore the LCM of Fractions 557/981,524/530,629/398 is 183584972
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 981,530,398 . The biggest common factor number is the GCF number.
So the greatest common factor 981,530,398 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 557/981, 524/530, 629/398?
Answer: LCM of Numerators as per given numbers 557/981, 524/530, 629/398 is
LCM of Numerators i.e. for 557,524,629 is 183584972
GCF of denominators i.e. for 981,530,398 is 1.
Thus, LCM of Fractions is 183584972.Finally, LCM of Fractions for 557/981, 524/530, 629/398 is 183584972.