Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 644/980, 199/178, 327/738 quickly i.e. 20953506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 644/980, 199/178, 327/738 is 20953506.
LCM(644/980, 199/178, 327/738) = 20953506
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 644/980,199/178,327/738
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 644,199,327
Least Common Multiple of Numerators i.e. LCM of 644,199,327 is 41907012.
GCF of Denominators means GCF of 980,178,738 as per the given fractions.
GCF of 980,178,738 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 644,199,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 41907012
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 644,199,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,199,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,199,327) x common factors =1 x 1 = 1
LCM(644,199,327) = ( 644 × 199 × 327 ) / 1
LCM(644,199,327) = 41907012 / 1
LCM(644,199,327) = 41907012
Lets's calculate GCF of 980,178,738
2 | 980, 178, 738 |
490, 89, 369 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41907012/2
Therefore the LCM of Fractions 644/980,199/178,327/738 is 20953506
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 980,178,738 . The biggest common factor number is the GCF number.
So the greatest common factor 980,178,738 is 2.
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 644/980, 199/178, 327/738?
Answer: LCM of Numerators as per given numbers 644/980, 199/178, 327/738 is
LCM of Numerators i.e. for 644,199,327 is 41907012
GCF of denominators i.e. for 980,178,738 is 2.
Thus, LCM of Fractions is 20953506.Finally, LCM of Fractions for 644/980, 199/178, 327/738 is 20953506.