Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/164, 238/990, 510/545 quickly i.e. 10710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/164, 238/990, 510/545 is 10710.
LCM(63/164, 238/990, 510/545) = 10710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/164,238/990,510/545
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 63,238,510
Least Common Multiple of Numerators i.e. LCM of 63,238,510 is 10710.
GCF of Denominators means GCF of 164,990,545 as per the given fractions.
GCF of 164,990,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,238,510
2 | 63, 238, 510 |
3 | 63, 119, 255 |
7 | 21, 119, 85 |
17 | 3, 17, 85 |
3, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 3 x 1 x 5 = 10710
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 63,238,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,238,510) = 1
common factors(in case of two or more numbers have common factors) = 714
GCF(63,238,510) x common factors =1 x 714 = 714
LCM(63,238,510) = ( 63 × 238 × 510 ) / 714
LCM(63,238,510) = 7646940 / 714
LCM(63,238,510) = 10710
Lets's calculate GCF of 164,990,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10710/1
Therefore the LCM of Fractions 63/164,238/990,510/545 is 10710
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
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 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 164,990,545 . The biggest common factor number is the GCF number.
So the greatest common factor 164,990,545 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 63/164, 238/990, 510/545?
Answer: LCM of Numerators as per given numbers 63/164, 238/990, 510/545 is
LCM of Numerators i.e. for 63,238,510 is 10710
GCF of denominators i.e. for 164,990,545 is 1.
Thus, LCM of Fractions is 10710.Finally, LCM of Fractions for 63/164, 238/990, 510/545 is 10710.