Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 595/525, 8414/532 quickly i.e. 102170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 595/525, 8414/532 is 102170.
LCM(595/525, 8414/532) = 102170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 595/525,8414/532
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 595,8414
Least Common Multiple of Numerators i.e. LCM of 595,8414 is 715190.
GCF of Denominators means GCF of 525,532 as per the given fractions.
GCF of 525,532 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 595,8414
7 | 595, 8414 |
85, 1202 |
∴ So the LCM of the given numbers is 7 x 85 x 1202 = 715190
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 595,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,8414) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(595,8414) x common factors =7 x 1 = 7
LCM(595,8414) = ( 595 × 8414 ) / 7
LCM(595,8414) = 5006330 / 7
LCM(595,8414) = 715190
Lets's calculate GCF of 525,532
7 | 525, 532 |
75, 76 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 715190/7
Therefore the LCM of Fractions 595/525,8414/532 is 102170
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 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 525,532 . The biggest common factor number is the GCF number.
So the greatest common factor 525,532 is 7.
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 595/525, 8414/532?
Answer: LCM of Numerators as per given numbers 595/525, 8414/532 is
LCM of Numerators i.e. for 595,8414 is 715190
GCF of denominators i.e. for 525,532 is 7.
Thus, LCM of Fractions is 102170.Finally, LCM of Fractions for 595/525, 8414/532 is 102170.