Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/228, 54/581, 233/337 quickly i.e. 616518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/228, 54/581, 233/337 is 616518.
LCM(98/228, 54/581, 233/337) = 616518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/228,54/581,233/337
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 98,54,233
Least Common Multiple of Numerators i.e. LCM of 98,54,233 is 616518.
GCF of Denominators means GCF of 228,581,337 as per the given fractions.
GCF of 228,581,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,54,233
2 | 98, 54, 233 |
49, 27, 233 |
∴ So the LCM of the given numbers is 2 x 49 x 27 x 233 = 616518
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 98,54,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,54,233) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,54,233) x common factors =1 x 2 = 2
LCM(98,54,233) = ( 98 × 54 × 233 ) / 2
LCM(98,54,233) = 1233036 / 2
LCM(98,54,233) = 616518
Lets's calculate GCF of 228,581,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 616518/1
Therefore the LCM of Fractions 98/228,54/581,233/337 is 616518
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 228,581,337 . The biggest common factor number is the GCF number.
So the greatest common factor 228,581,337 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 98/228, 54/581, 233/337?
Answer: LCM of Numerators as per given numbers 98/228, 54/581, 233/337 is
LCM of Numerators i.e. for 98,54,233 is 616518
GCF of denominators i.e. for 228,581,337 is 1.
Thus, LCM of Fractions is 616518.Finally, LCM of Fractions for 98/228, 54/581, 233/337 is 616518.