Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/54, 683/18, 301/306 quickly i.e. 2878162/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/54, 683/18, 301/306 is 2878162/18.
LCM(98/54, 683/18, 301/306) = 2878162/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/54,683/18,301/306
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 98,683,301
Least Common Multiple of Numerators i.e. LCM of 98,683,301 is 2878162.
GCF of Denominators means GCF of 54,18,306 as per the given fractions.
GCF of 54,18,306 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,683,301
7 | 98, 683, 301 |
14, 683, 43 |
∴ So the LCM of the given numbers is 7 x 14 x 683 x 43 = 2878162
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 98,683,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,683,301) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(98,683,301) x common factors =1 x 7 = 7
LCM(98,683,301) = ( 98 × 683 × 301 ) / 7
LCM(98,683,301) = 20147134 / 7
LCM(98,683,301) = 2878162
Lets's calculate GCF of 54,18,306
2 | 54, 18, 306 |
3 | 27, 9, 153 |
3 | 3, 9, 51 |
1, 3, 17 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2878162/18
Therefore the LCM of Fractions 98/54,683/18,301/306 is 2878162/18
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 54,18,306 . The biggest common factor number is the GCF number.
So the greatest common factor 54,18,306 is 18.
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 98/54, 683/18, 301/306?
Answer: LCM of Numerators as per given numbers 98/54, 683/18, 301/306 is
LCM of Numerators i.e. for 98,683,301 is 2878162
GCF of denominators i.e. for 54,18,306 is 18.
Thus, LCM of Fractions is 2878162/18.Finally, LCM of Fractions for 98/54, 683/18, 301/306 is 2878162/18.