Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/244, 417/178, 973/681 quickly i.e. 213087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/244, 417/178, 973/681 is 213087.
LCM(73/244, 417/178, 973/681) = 213087
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/244,417/178,973/681
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 73,417,973
Least Common Multiple of Numerators i.e. LCM of 73,417,973 is 213087.
GCF of Denominators means GCF of 244,178,681 as per the given fractions.
GCF of 244,178,681 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,417,973
139 | 73, 417, 973 |
73, 3, 7 |
∴ So the LCM of the given numbers is 139 x 73 x 3 x 7 = 213087
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 73,417,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,417,973) = 1
common factors(in case of two or more numbers have common factors) = 139
GCF(73,417,973) x common factors =1 x 139 = 139
LCM(73,417,973) = ( 73 × 417 × 973 ) / 139
LCM(73,417,973) = 29619093 / 139
LCM(73,417,973) = 213087
Lets's calculate GCF of 244,178,681
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213087/1
Therefore the LCM of Fractions 73/244,417/178,973/681 is 213087
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 244,178,681 . The biggest common factor number is the GCF number.
So the greatest common factor 244,178,681 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 73/244, 417/178, 973/681?
Answer: LCM of Numerators as per given numbers 73/244, 417/178, 973/681 is
LCM of Numerators i.e. for 73,417,973 is 213087
GCF of denominators i.e. for 244,178,681 is 1.
Thus, LCM of Fractions is 213087.Finally, LCM of Fractions for 73/244, 417/178, 973/681 is 213087.