Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/795, 209/129, 684/844 quickly i.e. 52668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/795, 209/129, 684/844 is 52668.
LCM(63/795, 209/129, 684/844) = 52668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/795,209/129,684/844
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 63,209,684
Least Common Multiple of Numerators i.e. LCM of 63,209,684 is 52668.
GCF of Denominators means GCF of 795,129,844 as per the given fractions.
GCF of 795,129,844 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,209,684
3 | 63, 209, 684 |
3 | 21, 209, 228 |
19 | 7, 209, 76 |
7, 11, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 7 x 11 x 4 = 52668
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 63,209,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,209,684) = 1
common factors(in case of two or more numbers have common factors) = 171
GCF(63,209,684) x common factors =1 x 171 = 171
LCM(63,209,684) = ( 63 × 209 × 684 ) / 171
LCM(63,209,684) = 9006228 / 171
LCM(63,209,684) = 52668
Lets's calculate GCF of 795,129,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52668/1
Therefore the LCM of Fractions 63/795,209/129,684/844 is 52668
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 795,129,844 . The biggest common factor number is the GCF number.
So the greatest common factor 795,129,844 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 63/795, 209/129, 684/844?
Answer: LCM of Numerators as per given numbers 63/795, 209/129, 684/844 is
LCM of Numerators i.e. for 63,209,684 is 52668
GCF of denominators i.e. for 795,129,844 is 1.
Thus, LCM of Fractions is 52668.Finally, LCM of Fractions for 63/795, 209/129, 684/844 is 52668.