Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/947, 137/173, 454/178 quickly i.e. 559782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/947, 137/173, 454/178 is 559782.
LCM(18/947, 137/173, 454/178) = 559782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/947,137/173,454/178
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 18,137,454
Least Common Multiple of Numerators i.e. LCM of 18,137,454 is 559782.
GCF of Denominators means GCF of 947,173,178 as per the given fractions.
GCF of 947,173,178 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,137,454
2 | 18, 137, 454 |
9, 137, 227 |
∴ So the LCM of the given numbers is 2 x 9 x 137 x 227 = 559782
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 18,137,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,137,454) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,137,454) x common factors =1 x 2 = 2
LCM(18,137,454) = ( 18 × 137 × 454 ) / 2
LCM(18,137,454) = 1119564 / 2
LCM(18,137,454) = 559782
Lets's calculate GCF of 947,173,178
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 559782/1
Therefore the LCM of Fractions 18/947,137/173,454/178 is 559782
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 947,173,178 . The biggest common factor number is the GCF number.
So the greatest common factor 947,173,178 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 18/947, 137/173, 454/178?
Answer: LCM of Numerators as per given numbers 18/947, 137/173, 454/178 is
LCM of Numerators i.e. for 18,137,454 is 559782
GCF of denominators i.e. for 947,173,178 is 1.
Thus, LCM of Fractions is 559782.Finally, LCM of Fractions for 18/947, 137/173, 454/178 is 559782.