Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/63, 736/54, 514/67 quickly i.e. 189152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/63, 736/54, 514/67 is 189152.
LCM(2/63, 736/54, 514/67) = 189152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/63,736/54,514/67
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 2,736,514
Least Common Multiple of Numerators i.e. LCM of 2,736,514 is 189152.
GCF of Denominators means GCF of 63,54,67 as per the given fractions.
GCF of 63,54,67 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,736,514
2 | 2, 736, 514 |
1, 368, 257 |
∴ So the LCM of the given numbers is 2 x 1 x 368 x 257 = 189152
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 2,736,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,736,514) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(2,736,514) x common factors =2 x 2 = 4
LCM(2,736,514) = ( 2 × 736 × 514 ) / 4
LCM(2,736,514) = 756608 / 4
LCM(2,736,514) = 189152
Lets's calculate GCF of 63,54,67
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189152/1
Therefore the LCM of Fractions 2/63,736/54,514/67 is 189152
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Greatest Common Factor
We found the factors 63,54,67 . The biggest common factor number is the GCF number.
So the greatest common factor 63,54,67 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 2/63, 736/54, 514/67?
Answer: LCM of Numerators as per given numbers 2/63, 736/54, 514/67 is
LCM of Numerators i.e. for 2,736,514 is 189152
GCF of denominators i.e. for 63,54,67 is 1.
Thus, LCM of Fractions is 189152.Finally, LCM of Fractions for 2/63, 736/54, 514/67 is 189152.