Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/290, 775/756, 457/511 quickly i.e. 7437675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/290, 775/756, 457/511 is 7437675.
LCM(525/290, 775/756, 457/511) = 7437675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/290,775/756,457/511
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 525,775,457
Least Common Multiple of Numerators i.e. LCM of 525,775,457 is 7437675.
GCF of Denominators means GCF of 290,756,511 as per the given fractions.
GCF of 290,756,511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,775,457
5 | 525, 775, 457 |
5 | 105, 155, 457 |
21, 31, 457 |
∴ So the LCM of the given numbers is 5 x 5 x 21 x 31 x 457 = 7437675
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 525,775,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,775,457) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(525,775,457) x common factors =1 x 25 = 25
LCM(525,775,457) = ( 525 × 775 × 457 ) / 25
LCM(525,775,457) = 185941875 / 25
LCM(525,775,457) = 7437675
Lets's calculate GCF of 290,756,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7437675/1
Therefore the LCM of Fractions 525/290,775/756,457/511 is 7437675
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 290,756,511 . The biggest common factor number is the GCF number.
So the greatest common factor 290,756,511 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 525/290, 775/756, 457/511?
Answer: LCM of Numerators as per given numbers 525/290, 775/756, 457/511 is
LCM of Numerators i.e. for 525,775,457 is 7437675
GCF of denominators i.e. for 290,756,511 is 1.
Thus, LCM of Fractions is 7437675.Finally, LCM of Fractions for 525/290, 775/756, 457/511 is 7437675.