Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7741/868, 5990/890 quickly i.e. 23184295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7741/868, 5990/890 is 23184295.
LCM(7741/868, 5990/890) = 23184295
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7741/868,5990/890
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 7741,5990
Least Common Multiple of Numerators i.e. LCM of 7741,5990 is 46368590.
GCF of Denominators means GCF of 868,890 as per the given fractions.
GCF of 868,890 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7741,5990
Given numbers has no common factors except 1. So, there LCM is their product i.e 46368590
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 7741,5990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7741,5990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7741,5990) x common factors =1 x 1 = 1
LCM(7741,5990) = ( 7741 × 5990 ) / 1
LCM(7741,5990) = 46368590 / 1
LCM(7741,5990) = 46368590
Lets's calculate GCF of 868,890
2 | 868, 890 |
434, 445 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46368590/2
Therefore the LCM of Fractions 7741/868,5990/890 is 23184295
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 868,890 . The biggest common factor number is the GCF number.
So the greatest common factor 868,890 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 7741/868, 5990/890?
Answer: LCM of Numerators as per given numbers 7741/868, 5990/890 is
LCM of Numerators i.e. for 7741,5990 is 46368590
GCF of denominators i.e. for 868,890 is 2.
Thus, LCM of Fractions is 23184295.Finally, LCM of Fractions for 7741/868, 5990/890 is 23184295.