Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 594/455, 214/525, 170/697 quickly i.e. 5402430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 594/455, 214/525, 170/697 is 5402430.
LCM(594/455, 214/525, 170/697) = 5402430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 594/455,214/525,170/697
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 594,214,170
Least Common Multiple of Numerators i.e. LCM of 594,214,170 is 5402430.
GCF of Denominators means GCF of 455,525,697 as per the given fractions.
GCF of 455,525,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 594,214,170
2 | 594, 214, 170 |
297, 107, 85 |
∴ So the LCM of the given numbers is 2 x 297 x 107 x 85 = 5402430
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 594,214,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,214,170) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(594,214,170) x common factors =2 x 2 = 4
LCM(594,214,170) = ( 594 × 214 × 170 ) / 4
LCM(594,214,170) = 21609720 / 4
LCM(594,214,170) = 5402430
Lets's calculate GCF of 455,525,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5402430/1
Therefore the LCM of Fractions 594/455,214/525,170/697 is 5402430
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 455,525,697 . The biggest common factor number is the GCF number.
So the greatest common factor 455,525,697 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 594/455, 214/525, 170/697?
Answer: LCM of Numerators as per given numbers 594/455, 214/525, 170/697 is
LCM of Numerators i.e. for 594,214,170 is 5402430
GCF of denominators i.e. for 455,525,697 is 1.
Thus, LCM of Fractions is 5402430.Finally, LCM of Fractions for 594/455, 214/525, 170/697 is 5402430.