Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/918, 6109/1890 quickly i.e. 5999038/54 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/918, 6109/1890 is 5999038/54.
LCM(982/918, 6109/1890) = 5999038/54
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/918,6109/1890
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 982,6109
Least Common Multiple of Numerators i.e. LCM of 982,6109 is 5999038.
GCF of Denominators means GCF of 918,1890 as per the given fractions.
GCF of 918,1890 is 54 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,6109
Given numbers has no common factors except 1. So, there LCM is their product i.e 5999038
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 982,6109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,6109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,6109) x common factors =1 x 1 = 1
LCM(982,6109) = ( 982 × 6109 ) / 1
LCM(982,6109) = 5999038 / 1
LCM(982,6109) = 5999038
Lets's calculate GCF of 918,1890
2 | 918, 1890 |
3 | 459, 945 |
3 | 153, 315 |
3 | 51, 105 |
17, 35 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5999038/54
Therefore the LCM of Fractions 982/918,6109/1890 is 5999038/54
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 1890
List of positive integer factors of 1890 that divides 1890 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890
Greatest Common Factor
We found the factors 918,1890 . The biggest common factor number is the GCF number.
So the greatest common factor 918,1890 is 54.
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 982/918, 6109/1890?
Answer: LCM of Numerators as per given numbers 982/918, 6109/1890 is
LCM of Numerators i.e. for 982,6109 is 5999038
GCF of denominators i.e. for 918,1890 is 54.
Thus, LCM of Fractions is 5999038/54.Finally, LCM of Fractions for 982/918, 6109/1890 is 5999038/54.