Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7947/644, 7028/950 quickly i.e. 27925758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7947/644, 7028/950 is 27925758.
LCM(7947/644, 7028/950) = 27925758
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7947/644,7028/950
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 7947,7028
Least Common Multiple of Numerators i.e. LCM of 7947,7028 is 55851516.
GCF of Denominators means GCF of 644,950 as per the given fractions.
GCF of 644,950 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7947,7028
Given numbers has no common factors except 1. So, there LCM is their product i.e 55851516
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 7947,7028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7947,7028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7947,7028) x common factors =1 x 1 = 1
LCM(7947,7028) = ( 7947 × 7028 ) / 1
LCM(7947,7028) = 55851516 / 1
LCM(7947,7028) = 55851516
Lets's calculate GCF of 644,950
2 | 644, 950 |
322, 475 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55851516/2
Therefore the LCM of Fractions 7947/644,7028/950 is 27925758
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 644,950 . The biggest common factor number is the GCF number.
So the greatest common factor 644,950 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 7947/644, 7028/950?
Answer: LCM of Numerators as per given numbers 7947/644, 7028/950 is
LCM of Numerators i.e. for 7947,7028 is 55851516
GCF of denominators i.e. for 644,950 is 2.
Thus, LCM of Fractions is 27925758.Finally, LCM of Fractions for 7947/644, 7028/950 is 27925758.