Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 544/14, 127/7266 quickly i.e. 69088/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 544/14, 127/7266 is 69088/14.
LCM(544/14, 127/7266) = 69088/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 544/14,127/7266
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 544,127
Least Common Multiple of Numerators i.e. LCM of 544,127 is 69088.
GCF of Denominators means GCF of 14,7266 as per the given fractions.
GCF of 14,7266 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 544,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 69088
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 544,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(544,127) x common factors =1 x 1 = 1
LCM(544,127) = ( 544 × 127 ) / 1
LCM(544,127) = 69088 / 1
LCM(544,127) = 69088
Lets's calculate GCF of 14,7266
2 | 14, 7266 |
7 | 7, 3633 |
1, 519 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69088/14
Therefore the LCM of Fractions 544/14,127/7266 is 69088/14
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 7266
List of positive integer factors of 7266 that divides 7266 without a remainder.
1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Greatest Common Factor
We found the factors 14,7266 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7266 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 544/14, 127/7266?
Answer: LCM of Numerators as per given numbers 544/14, 127/7266 is
LCM of Numerators i.e. for 544,127 is 69088
GCF of denominators i.e. for 14,7266 is 14.
Thus, LCM of Fractions is 69088/14.Finally, LCM of Fractions for 544/14, 127/7266 is 69088/14.