Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/97, 554/43, 226/804 quickly i.e. 876428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/97, 554/43, 226/804 is 876428.
LCM(28/97, 554/43, 226/804) = 876428
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/97,554/43,226/804
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 28,554,226
Least Common Multiple of Numerators i.e. LCM of 28,554,226 is 876428.
GCF of Denominators means GCF of 97,43,804 as per the given fractions.
GCF of 97,43,804 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,554,226
2 | 28, 554, 226 |
14, 277, 113 |
∴ So the LCM of the given numbers is 2 x 14 x 277 x 113 = 876428
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 28,554,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,554,226) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(28,554,226) x common factors =2 x 2 = 4
LCM(28,554,226) = ( 28 × 554 × 226 ) / 4
LCM(28,554,226) = 3505712 / 4
LCM(28,554,226) = 876428
Lets's calculate GCF of 97,43,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876428/1
Therefore the LCM of Fractions 28/97,554/43,226/804 is 876428
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
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
Greatest Common Factor
We found the factors 97,43,804 . The biggest common factor number is the GCF number.
So the greatest common factor 97,43,804 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 28/97, 554/43, 226/804?
Answer: LCM of Numerators as per given numbers 28/97, 554/43, 226/804 is
LCM of Numerators i.e. for 28,554,226 is 876428
GCF of denominators i.e. for 97,43,804 is 1.
Thus, LCM of Fractions is 876428.Finally, LCM of Fractions for 28/97, 554/43, 226/804 is 876428.