Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/53, 51/71, 65/47, 58/326 quickly i.e. 4037670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/53, 51/71, 65/47, 58/326 is 4037670.
LCM(63/53, 51/71, 65/47, 58/326) = 4037670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/53,51/71,65/47,58/326
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 63,51,65,58
Least Common Multiple of Numerators i.e. LCM of 63,51,65,58 is 4037670.
GCF of Denominators means GCF of 53,71,47,326 as per the given fractions.
GCF of 53,71,47,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,51,65,58
3 | 63, 51, 65, 58 |
21, 17, 65, 58 |
∴ So the LCM of the given numbers is 3 x 21 x 17 x 65 x 58 = 4037670
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 63,51,65,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,51,65,58) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(63,51,65,58) x common factors =1 x 3 = 3
LCM(63,51,65,58) = ( 63 × 51 × 65 × 58 ) / 3
LCM(63,51,65,58) = 12113010 / 3
LCM(63,51,65,58) = 4037670
Lets's calculate GCF of 53,71,47,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4037670/1
Therefore the LCM of Fractions 63/53,51/71,65/47,58/326 is 4037670
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 53,71,47,326 . The biggest common factor number is the GCF number.
So the greatest common factor 53,71,47,326 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 63/53, 51/71, 65/47, 58/326?
Answer: LCM of Numerators as per given numbers 63/53, 51/71, 65/47, 58/326 is
LCM of Numerators i.e. for 63,51,65,58 is 4037670
GCF of denominators i.e. for 53,71,47,326 is 1.
Thus, LCM of Fractions is 4037670.Finally, LCM of Fractions for 63/53, 51/71, 65/47, 58/326 is 4037670.