Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 753/14, 858/13, 548/207 quickly i.e. 59008092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 753/14, 858/13, 548/207 is 59008092.
LCM(753/14, 858/13, 548/207) = 59008092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 753/14,858/13,548/207
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 753,858,548
Least Common Multiple of Numerators i.e. LCM of 753,858,548 is 59008092.
GCF of Denominators means GCF of 14,13,207 as per the given fractions.
GCF of 14,13,207 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 753,858,548
2 | 753, 858, 548 |
3 | 753, 429, 274 |
251, 143, 274 |
∴ So the LCM of the given numbers is 2 x 3 x 251 x 143 x 274 = 59008092
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 753,858,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,858,548) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(753,858,548) x common factors =1 x 6 = 6
LCM(753,858,548) = ( 753 × 858 × 548 ) / 6
LCM(753,858,548) = 354048552 / 6
LCM(753,858,548) = 59008092
Lets's calculate GCF of 14,13,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59008092/1
Therefore the LCM of Fractions 753/14,858/13,548/207 is 59008092
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Greatest Common Factor
We found the factors 14,13,207 . The biggest common factor number is the GCF number.
So the greatest common factor 14,13,207 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 753/14, 858/13, 548/207?
Answer: LCM of Numerators as per given numbers 753/14, 858/13, 548/207 is
LCM of Numerators i.e. for 753,858,548 is 59008092
GCF of denominators i.e. for 14,13,207 is 1.
Thus, LCM of Fractions is 59008092.Finally, LCM of Fractions for 753/14, 858/13, 548/207 is 59008092.