Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/74, 19/804, 393/562 quickly i.e. 67203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/74, 19/804, 393/562 is 67203.
LCM(54/74, 19/804, 393/562) = 67203
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/74,19/804,393/562
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 54,19,393
Least Common Multiple of Numerators i.e. LCM of 54,19,393 is 134406.
GCF of Denominators means GCF of 74,804,562 as per the given fractions.
GCF of 74,804,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,19,393
3 | 54, 19, 393 |
18, 19, 131 |
∴ So the LCM of the given numbers is 3 x 18 x 19 x 131 = 134406
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 54,19,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,19,393) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(54,19,393) x common factors =1 x 3 = 3
LCM(54,19,393) = ( 54 × 19 × 393 ) / 3
LCM(54,19,393) = 403218 / 3
LCM(54,19,393) = 134406
Lets's calculate GCF of 74,804,562
2 | 74, 804, 562 |
37, 402, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134406/2
Therefore the LCM of Fractions 54/74,19/804,393/562 is 67203
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 74,804,562 . The biggest common factor number is the GCF number.
So the greatest common factor 74,804,562 is 2.
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 54/74, 19/804, 393/562?
Answer: LCM of Numerators as per given numbers 54/74, 19/804, 393/562 is
LCM of Numerators i.e. for 54,19,393 is 134406
GCF of denominators i.e. for 74,804,562 is 2.
Thus, LCM of Fractions is 67203.Finally, LCM of Fractions for 54/74, 19/804, 393/562 is 67203.