Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/266, 4/560 quickly i.e. 4/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/266, 4/560 is 4/14.
LCM(1/266, 4/560) = 4/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/266,4/560
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 1,4
Least Common Multiple of Numerators i.e. LCM of 1,4 is 4.
GCF of Denominators means GCF of 266,560 as per the given fractions.
GCF of 266,560 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,4
Given numbers has no common factors except 1. So, there LCM is their product i.e 4
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 1,4 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,4) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,4) x common factors =1 x 1 = 1
LCM(1,4) = ( 1 × 4 ) / 1
LCM(1,4) = 4 / 1
LCM(1,4) = 4
Lets's calculate GCF of 266,560
2 | 266, 560 |
7 | 133, 280 |
19, 40 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4/14
Therefore the LCM of Fractions 1/266,4/560 is 4/14
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 266,560 . The biggest common factor number is the GCF number.
So the greatest common factor 266,560 is 14.
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 1/266, 4/560?
Answer: LCM of Numerators as per given numbers 1/266, 4/560 is
LCM of Numerators i.e. for 1,4 is 4
GCF of denominators i.e. for 266,560 is 14.
Thus, LCM of Fractions is 4/14.Finally, LCM of Fractions for 1/266, 4/560 is 4/14.