Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 318/21, 174/21, 139/229 quickly i.e. 1281858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 318/21, 174/21, 139/229 is 1281858.
LCM(318/21, 174/21, 139/229) = 1281858
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 318/21,174/21,139/229
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 318,174,139
Least Common Multiple of Numerators i.e. LCM of 318,174,139 is 1281858.
GCF of Denominators means GCF of 21,21,229 as per the given fractions.
GCF of 21,21,229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 318,174,139
2 | 318, 174, 139 |
3 | 159, 87, 139 |
53, 29, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 29 x 139 = 1281858
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 318,174,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,174,139) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(318,174,139) x common factors =1 x 6 = 6
LCM(318,174,139) = ( 318 × 174 × 139 ) / 6
LCM(318,174,139) = 7691148 / 6
LCM(318,174,139) = 1281858
Lets's calculate GCF of 21,21,229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1281858/1
Therefore the LCM of Fractions 318/21,174/21,139/229 is 1281858
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Greatest Common Factor
We found the factors 21,21,229 . The biggest common factor number is the GCF number.
So the greatest common factor 21,21,229 is 1.
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 318/21, 174/21, 139/229?
Answer: LCM of Numerators as per given numbers 318/21, 174/21, 139/229 is
LCM of Numerators i.e. for 318,174,139 is 1281858
GCF of denominators i.e. for 21,21,229 is 1.
Thus, LCM of Fractions is 1281858.Finally, LCM of Fractions for 318/21, 174/21, 139/229 is 1281858.