Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/286, 534/98, 206/594 quickly i.e. 577521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/286, 534/98, 206/594 is 577521.
LCM(63/286, 534/98, 206/594) = 577521
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/286,534/98,206/594
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 63,534,206
Least Common Multiple of Numerators i.e. LCM of 63,534,206 is 1155042.
GCF of Denominators means GCF of 286,98,594 as per the given fractions.
GCF of 286,98,594 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,534,206
2 | 63, 534, 206 |
3 | 63, 267, 103 |
21, 89, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 89 x 103 = 1155042
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 63,534,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,534,206) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(63,534,206) x common factors =1 x 6 = 6
LCM(63,534,206) = ( 63 × 534 × 206 ) / 6
LCM(63,534,206) = 6930252 / 6
LCM(63,534,206) = 1155042
Lets's calculate GCF of 286,98,594
2 | 286, 98, 594 |
143, 49, 297 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1155042/2
Therefore the LCM of Fractions 63/286,534/98,206/594 is 577521
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 286,98,594 . The biggest common factor number is the GCF number.
So the greatest common factor 286,98,594 is 2.
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 63/286, 534/98, 206/594?
Answer: LCM of Numerators as per given numbers 63/286, 534/98, 206/594 is
LCM of Numerators i.e. for 63,534,206 is 1155042
GCF of denominators i.e. for 286,98,594 is 2.
Thus, LCM of Fractions is 577521.Finally, LCM of Fractions for 63/286, 534/98, 206/594 is 577521.