Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/455, 94/173, 893/239 quickly i.e. 98230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/455, 94/173, 893/239 is 98230.
LCM(55/455, 94/173, 893/239) = 98230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/455,94/173,893/239
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 55,94,893
Least Common Multiple of Numerators i.e. LCM of 55,94,893 is 98230.
GCF of Denominators means GCF of 455,173,239 as per the given fractions.
GCF of 455,173,239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,94,893
47 | 55, 94, 893 |
55, 2, 19 |
∴ So the LCM of the given numbers is 47 x 55 x 2 x 19 = 98230
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 55,94,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,94,893) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(55,94,893) x common factors =1 x 47 = 47
LCM(55,94,893) = ( 55 × 94 × 893 ) / 47
LCM(55,94,893) = 4616810 / 47
LCM(55,94,893) = 98230
Lets's calculate GCF of 455,173,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98230/1
Therefore the LCM of Fractions 55/455,94/173,893/239 is 98230
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Greatest Common Factor
We found the factors 455,173,239 . The biggest common factor number is the GCF number.
So the greatest common factor 455,173,239 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 55/455, 94/173, 893/239?
Answer: LCM of Numerators as per given numbers 55/455, 94/173, 893/239 is
LCM of Numerators i.e. for 55,94,893 is 98230
GCF of denominators i.e. for 455,173,239 is 1.
Thus, LCM of Fractions is 98230.Finally, LCM of Fractions for 55/455, 94/173, 893/239 is 98230.