Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/327, 84/169, 441/945 quickly i.e. 3528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/327, 84/169, 441/945 is 3528.
LCM(56/327, 84/169, 441/945) = 3528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/327,84/169,441/945
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 56,84,441
Least Common Multiple of Numerators i.e. LCM of 56,84,441 is 3528.
GCF of Denominators means GCF of 327,169,945 as per the given fractions.
GCF of 327,169,945 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,84,441
2 | 56, 84, 441 |
2 | 28, 42, 441 |
3 | 14, 21, 441 |
7 | 14, 7, 147 |
2, 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 2 x 1 x 21 = 3528
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 56,84,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,84,441) = 7
common factors(in case of two or more numbers have common factors) = 84
GCF(56,84,441) x common factors =7 x 84 = 588
LCM(56,84,441) = ( 56 × 84 × 441 ) / 588
LCM(56,84,441) = 2074464 / 588
LCM(56,84,441) = 3528
Lets's calculate GCF of 327,169,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3528/1
Therefore the LCM of Fractions 56/327,84/169,441/945 is 3528
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 327,169,945 . The biggest common factor number is the GCF number.
So the greatest common factor 327,169,945 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 56/327, 84/169, 441/945?
Answer: LCM of Numerators as per given numbers 56/327, 84/169, 441/945 is
LCM of Numerators i.e. for 56,84,441 is 3528
GCF of denominators i.e. for 327,169,945 is 1.
Thus, LCM of Fractions is 3528.Finally, LCM of Fractions for 56/327, 84/169, 441/945 is 3528.