Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 740/888, 1842/9393 quickly i.e. 227180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 740/888, 1842/9393 is 227180.
LCM(740/888, 1842/9393) = 227180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 740/888,1842/9393
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 740,1842
Least Common Multiple of Numerators i.e. LCM of 740,1842 is 681540.
GCF of Denominators means GCF of 888,9393 as per the given fractions.
GCF of 888,9393 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 740,1842
2 | 740, 1842 |
370, 921 |
∴ So the LCM of the given numbers is 2 x 370 x 921 = 681540
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 740,1842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,1842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,1842) x common factors =2 x 1 = 2
LCM(740,1842) = ( 740 × 1842 ) / 2
LCM(740,1842) = 1363080 / 2
LCM(740,1842) = 681540
Lets's calculate GCF of 888,9393
3 | 888, 9393 |
296, 3131 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 681540/3
Therefore the LCM of Fractions 740/888,1842/9393 is 227180
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 9393
List of positive integer factors of 9393 that divides 9393 without a remainder.
1,3,31,93,101,303,3131,9393
Greatest Common Factor
We found the factors 888,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 888,9393 is 3.
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 740/888, 1842/9393?
Answer: LCM of Numerators as per given numbers 740/888, 1842/9393 is
LCM of Numerators i.e. for 740,1842 is 681540
GCF of denominators i.e. for 888,9393 is 3.
Thus, LCM of Fractions is 227180.Finally, LCM of Fractions for 740/888, 1842/9393 is 227180.