Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 603/111, 5154/258 quickly i.e. 345318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 603/111, 5154/258 is 345318.
LCM(603/111, 5154/258) = 345318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 603/111,5154/258
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 603,5154
Least Common Multiple of Numerators i.e. LCM of 603,5154 is 1035954.
GCF of Denominators means GCF of 111,258 as per the given fractions.
GCF of 111,258 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 603,5154
3 | 603, 5154 |
201, 1718 |
∴ So the LCM of the given numbers is 3 x 201 x 1718 = 1035954
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 603,5154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,5154) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,5154) x common factors =3 x 1 = 3
LCM(603,5154) = ( 603 × 5154 ) / 3
LCM(603,5154) = 3107862 / 3
LCM(603,5154) = 1035954
Lets's calculate GCF of 111,258
3 | 111, 258 |
37, 86 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1035954/3
Therefore the LCM of Fractions 603/111,5154/258 is 345318
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 111,258 . The biggest common factor number is the GCF number.
So the greatest common factor 111,258 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 603/111, 5154/258?
Answer: LCM of Numerators as per given numbers 603/111, 5154/258 is
LCM of Numerators i.e. for 603,5154 is 1035954
GCF of denominators i.e. for 111,258 is 3.
Thus, LCM of Fractions is 345318.Finally, LCM of Fractions for 603/111, 5154/258 is 345318.