Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/592, 490/990, 231/487 quickly i.e. 2247630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/592, 490/990, 231/487 is 2247630.
LCM(695/592, 490/990, 231/487) = 2247630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/592,490/990,231/487
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 695,490,231
Least Common Multiple of Numerators i.e. LCM of 695,490,231 is 2247630.
GCF of Denominators means GCF of 592,990,487 as per the given fractions.
GCF of 592,990,487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,490,231
5 | 695, 490, 231 |
7 | 139, 98, 231 |
139, 14, 33 |
∴ So the LCM of the given numbers is 5 x 7 x 139 x 14 x 33 = 2247630
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 695,490,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,490,231) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(695,490,231) x common factors =1 x 35 = 35
LCM(695,490,231) = ( 695 × 490 × 231 ) / 35
LCM(695,490,231) = 78667050 / 35
LCM(695,490,231) = 2247630
Lets's calculate GCF of 592,990,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2247630/1
Therefore the LCM of Fractions 695/592,490/990,231/487 is 2247630
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Greatest Common Factor
We found the factors 592,990,487 . The biggest common factor number is the GCF number.
So the greatest common factor 592,990,487 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 695/592, 490/990, 231/487?
Answer: LCM of Numerators as per given numbers 695/592, 490/990, 231/487 is
LCM of Numerators i.e. for 695,490,231 is 2247630
GCF of denominators i.e. for 592,990,487 is 1.
Thus, LCM of Fractions is 2247630.Finally, LCM of Fractions for 695/592, 490/990, 231/487 is 2247630.