Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 279/30, 652/68, 110/271 quickly i.e. 10004940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 279/30, 652/68, 110/271 is 10004940.
LCM(279/30, 652/68, 110/271) = 10004940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 279/30,652/68,110/271
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 279,652,110
Least Common Multiple of Numerators i.e. LCM of 279,652,110 is 10004940.
GCF of Denominators means GCF of 30,68,271 as per the given fractions.
GCF of 30,68,271 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 279,652,110
2 | 279, 652, 110 |
279, 326, 55 |
∴ So the LCM of the given numbers is 2 x 279 x 326 x 55 = 10004940
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 279,652,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,652,110) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(279,652,110) x common factors =1 x 2 = 2
LCM(279,652,110) = ( 279 × 652 × 110 ) / 2
LCM(279,652,110) = 20009880 / 2
LCM(279,652,110) = 10004940
Lets's calculate GCF of 30,68,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10004940/1
Therefore the LCM of Fractions 279/30,652/68,110/271 is 10004940
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 30,68,271 . The biggest common factor number is the GCF number.
So the greatest common factor 30,68,271 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 279/30, 652/68, 110/271?
Answer: LCM of Numerators as per given numbers 279/30, 652/68, 110/271 is
LCM of Numerators i.e. for 279,652,110 is 10004940
GCF of denominators i.e. for 30,68,271 is 1.
Thus, LCM of Fractions is 10004940.Finally, LCM of Fractions for 279/30, 652/68, 110/271 is 10004940.