Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/532, 354/479, 354/671 quickly i.e. 4956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/532, 354/479, 354/671 is 4956.
LCM(28/532, 354/479, 354/671) = 4956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/532,354/479,354/671
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 28,354,354
Least Common Multiple of Numerators i.e. LCM of 28,354,354 is 4956.
GCF of Denominators means GCF of 532,479,671 as per the given fractions.
GCF of 532,479,671 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,354,354
2 | 28, 354, 354 |
3 | 14, 177, 177 |
59 | 14, 59, 59 |
14, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 14 x 1 x 1 = 4956
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 28,354,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,354,354) = 2
common factors(in case of two or more numbers have common factors) = 354
GCF(28,354,354) x common factors =2 x 354 = 708
LCM(28,354,354) = ( 28 × 354 × 354 ) / 708
LCM(28,354,354) = 3508848 / 708
LCM(28,354,354) = 4956
Lets's calculate GCF of 532,479,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4956/1
Therefore the LCM of Fractions 28/532,354/479,354/671 is 4956
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 532,479,671 . The biggest common factor number is the GCF number.
So the greatest common factor 532,479,671 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 28/532, 354/479, 354/671?
Answer: LCM of Numerators as per given numbers 28/532, 354/479, 354/671 is
LCM of Numerators i.e. for 28,354,354 is 4956
GCF of denominators i.e. for 532,479,671 is 1.
Thus, LCM of Fractions is 4956.Finally, LCM of Fractions for 28/532, 354/479, 354/671 is 4956.