Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/826, 7270/4038 quickly i.e. 338055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/826, 7270/4038 is 338055.
LCM(93/826, 7270/4038) = 338055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/826,7270/4038
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 93,7270
Least Common Multiple of Numerators i.e. LCM of 93,7270 is 676110.
GCF of Denominators means GCF of 826,4038 as per the given fractions.
GCF of 826,4038 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,7270
Given numbers has no common factors except 1. So, there LCM is their product i.e 676110
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 93,7270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7270) x common factors =1 x 1 = 1
LCM(93,7270) = ( 93 × 7270 ) / 1
LCM(93,7270) = 676110 / 1
LCM(93,7270) = 676110
Lets's calculate GCF of 826,4038
2 | 826, 4038 |
413, 2019 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 676110/2
Therefore the LCM of Fractions 93/826,7270/4038 is 338055
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 4038
List of positive integer factors of 4038 that divides 4038 without a remainder.
1,2,3,6,673,1346,2019,4038
Greatest Common Factor
We found the factors 826,4038 . The biggest common factor number is the GCF number.
So the greatest common factor 826,4038 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 93/826, 7270/4038?
Answer: LCM of Numerators as per given numbers 93/826, 7270/4038 is
LCM of Numerators i.e. for 93,7270 is 676110
GCF of denominators i.e. for 826,4038 is 2.
Thus, LCM of Fractions is 338055.Finally, LCM of Fractions for 93/826, 7270/4038 is 338055.