Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/751, 81/711, 54/641 quickly i.e. 324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/751, 81/711, 54/641 is 324.
LCM(4/751, 81/711, 54/641) = 324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/751,81/711,54/641
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 4,81,54
Least Common Multiple of Numerators i.e. LCM of 4,81,54 is 324.
GCF of Denominators means GCF of 751,711,641 as per the given fractions.
GCF of 751,711,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,81,54
2 | 4, 81, 54 |
3 | 2, 81, 27 |
3 | 2, 9, 27 |
3 | 2, 3, 9 |
2, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 2 x 1 x 3 = 324
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 4,81,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,81,54) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(4,81,54) x common factors =1 x 54 = 54
LCM(4,81,54) = ( 4 × 81 × 54 ) / 54
LCM(4,81,54) = 17496 / 54
LCM(4,81,54) = 324
Lets's calculate GCF of 751,711,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324/1
Therefore the LCM of Fractions 4/751,81/711,54/641 is 324
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 751,711,641 . The biggest common factor number is the GCF number.
So the greatest common factor 751,711,641 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 4/751, 81/711, 54/641?
Answer: LCM of Numerators as per given numbers 4/751, 81/711, 54/641 is
LCM of Numerators i.e. for 4,81,54 is 324
GCF of denominators i.e. for 751,711,641 is 1.
Thus, LCM of Fractions is 324.Finally, LCM of Fractions for 4/751, 81/711, 54/641 is 324.