Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5825/944, 2412/7777 quickly i.e. 14049900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5825/944, 2412/7777 is 14049900.
LCM(5825/944, 2412/7777) = 14049900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5825/944,2412/7777
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 5825,2412
Least Common Multiple of Numerators i.e. LCM of 5825,2412 is 14049900.
GCF of Denominators means GCF of 944,7777 as per the given fractions.
GCF of 944,7777 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5825,2412
Given numbers has no common factors except 1. So, there LCM is their product i.e 14049900
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 5825,2412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5825,2412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5825,2412) x common factors =1 x 1 = 1
LCM(5825,2412) = ( 5825 × 2412 ) / 1
LCM(5825,2412) = 14049900 / 1
LCM(5825,2412) = 14049900
Lets's calculate GCF of 944,7777
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14049900/1
Therefore the LCM of Fractions 5825/944,2412/7777 is 14049900
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 7777
List of positive integer factors of 7777 that divides 7777 without a remainder.
1,7,11,77,101,707,1111,7777
Greatest Common Factor
We found the factors 944,7777 . The biggest common factor number is the GCF number.
So the greatest common factor 944,7777 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 5825/944, 2412/7777?
Answer: LCM of Numerators as per given numbers 5825/944, 2412/7777 is
LCM of Numerators i.e. for 5825,2412 is 14049900
GCF of denominators i.e. for 944,7777 is 1.
Thus, LCM of Fractions is 14049900.Finally, LCM of Fractions for 5825/944, 2412/7777 is 14049900.