Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/897, 83/948, 185/844 quickly i.e. 168905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/897, 83/948, 185/844 is 168905.
LCM(55/897, 83/948, 185/844) = 168905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/897,83/948,185/844
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 55,83,185
Least Common Multiple of Numerators i.e. LCM of 55,83,185 is 168905.
GCF of Denominators means GCF of 897,948,844 as per the given fractions.
GCF of 897,948,844 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,83,185
5 | 55, 83, 185 |
11, 83, 37 |
∴ So the LCM of the given numbers is 5 x 11 x 83 x 37 = 168905
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 55,83,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,83,185) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,83,185) x common factors =1 x 5 = 5
LCM(55,83,185) = ( 55 × 83 × 185 ) / 5
LCM(55,83,185) = 844525 / 5
LCM(55,83,185) = 168905
Lets's calculate GCF of 897,948,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168905/1
Therefore the LCM of Fractions 55/897,83/948,185/844 is 168905
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 897,948,844 . The biggest common factor number is the GCF number.
So the greatest common factor 897,948,844 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 55/897, 83/948, 185/844?
Answer: LCM of Numerators as per given numbers 55/897, 83/948, 185/844 is
LCM of Numerators i.e. for 55,83,185 is 168905
GCF of denominators i.e. for 897,948,844 is 1.
Thus, LCM of Fractions is 168905.Finally, LCM of Fractions for 55/897, 83/948, 185/844 is 168905.