Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/639, 727/215, 176/429 quickly i.e. 3454704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/639, 727/215, 176/429 is 3454704.
LCM(54/639, 727/215, 176/429) = 3454704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/639,727/215,176/429
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 54,727,176
Least Common Multiple of Numerators i.e. LCM of 54,727,176 is 3454704.
GCF of Denominators means GCF of 639,215,429 as per the given fractions.
GCF of 639,215,429 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,727,176
2 | 54, 727, 176 |
27, 727, 88 |
∴ So the LCM of the given numbers is 2 x 27 x 727 x 88 = 3454704
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 54,727,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,727,176) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,727,176) x common factors =1 x 2 = 2
LCM(54,727,176) = ( 54 × 727 × 176 ) / 2
LCM(54,727,176) = 6909408 / 2
LCM(54,727,176) = 3454704
Lets's calculate GCF of 639,215,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3454704/1
Therefore the LCM of Fractions 54/639,727/215,176/429 is 3454704
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 639,215,429 . The biggest common factor number is the GCF number.
So the greatest common factor 639,215,429 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 54/639, 727/215, 176/429?
Answer: LCM of Numerators as per given numbers 54/639, 727/215, 176/429 is
LCM of Numerators i.e. for 54,727,176 is 3454704
GCF of denominators i.e. for 639,215,429 is 1.
Thus, LCM of Fractions is 3454704.Finally, LCM of Fractions for 54/639, 727/215, 176/429 is 3454704.