Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 244/672, 5327/974 quickly i.e. 649894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 244/672, 5327/974 is 649894.
LCM(244/672, 5327/974) = 649894
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 244/672,5327/974
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 244,5327
Least Common Multiple of Numerators i.e. LCM of 244,5327 is 1299788.
GCF of Denominators means GCF of 672,974 as per the given fractions.
GCF of 672,974 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 244,5327
Given numbers has no common factors except 1. So, there LCM is their product i.e 1299788
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 244,5327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,5327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(244,5327) x common factors =1 x 1 = 1
LCM(244,5327) = ( 244 × 5327 ) / 1
LCM(244,5327) = 1299788 / 1
LCM(244,5327) = 1299788
Lets's calculate GCF of 672,974
2 | 672, 974 |
336, 487 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1299788/2
Therefore the LCM of Fractions 244/672,5327/974 is 649894
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 672,974 . The biggest common factor number is the GCF number.
So the greatest common factor 672,974 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 244/672, 5327/974?
Answer: LCM of Numerators as per given numbers 244/672, 5327/974 is
LCM of Numerators i.e. for 244,5327 is 1299788
GCF of denominators i.e. for 672,974 is 2.
Thus, LCM of Fractions is 649894.Finally, LCM of Fractions for 244/672, 5327/974 is 649894.