Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 592/678, 7354/7299 quickly i.e. 2176784/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 592/678, 7354/7299 is 2176784/3.
LCM(592/678, 7354/7299) = 2176784/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 592/678,7354/7299
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 592,7354
Least Common Multiple of Numerators i.e. LCM of 592,7354 is 2176784.
GCF of Denominators means GCF of 678,7299 as per the given fractions.
GCF of 678,7299 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 592,7354
2 | 592, 7354 |
296, 3677 |
∴ So the LCM of the given numbers is 2 x 296 x 3677 = 2176784
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 592,7354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,7354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(592,7354) x common factors =2 x 1 = 2
LCM(592,7354) = ( 592 × 7354 ) / 2
LCM(592,7354) = 4353568 / 2
LCM(592,7354) = 2176784
Lets's calculate GCF of 678,7299
3 | 678, 7299 |
226, 2433 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2176784/3
Therefore the LCM of Fractions 592/678,7354/7299 is 2176784/3
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 7299
List of positive integer factors of 7299 that divides 7299 without a remainder.
1,3,9,811,2433,7299
Greatest Common Factor
We found the factors 678,7299 . The biggest common factor number is the GCF number.
So the greatest common factor 678,7299 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 592/678, 7354/7299?
Answer: LCM of Numerators as per given numbers 592/678, 7354/7299 is
LCM of Numerators i.e. for 592,7354 is 2176784
GCF of denominators i.e. for 678,7299 is 3.
Thus, LCM of Fractions is 2176784/3.Finally, LCM of Fractions for 592/678, 7354/7299 is 2176784/3.