Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/267, 5907/5139 quickly i.e. 39380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/267, 5907/5139 is 39380.
LCM(20/267, 5907/5139) = 39380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/267,5907/5139
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 20,5907
Least Common Multiple of Numerators i.e. LCM of 20,5907 is 118140.
GCF of Denominators means GCF of 267,5139 as per the given fractions.
GCF of 267,5139 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,5907
Given numbers has no common factors except 1. So, there LCM is their product i.e 118140
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 20,5907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,5907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,5907) x common factors =1 x 1 = 1
LCM(20,5907) = ( 20 × 5907 ) / 1
LCM(20,5907) = 118140 / 1
LCM(20,5907) = 118140
Lets's calculate GCF of 267,5139
3 | 267, 5139 |
89, 1713 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118140/3
Therefore the LCM of Fractions 20/267,5907/5139 is 39380
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 5139
List of positive integer factors of 5139 that divides 5139 without a remainder.
1,3,9,571,1713,5139
Greatest Common Factor
We found the factors 267,5139 . The biggest common factor number is the GCF number.
So the greatest common factor 267,5139 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 20/267, 5907/5139?
Answer: LCM of Numerators as per given numbers 20/267, 5907/5139 is
LCM of Numerators i.e. for 20,5907 is 118140
GCF of denominators i.e. for 267,5139 is 3.
Thus, LCM of Fractions is 39380.Finally, LCM of Fractions for 20/267, 5907/5139 is 39380.