Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3538/382, 7800/608 quickly i.e. 6899100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3538/382, 7800/608 is 6899100.
LCM(3538/382, 7800/608) = 6899100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3538/382,7800/608
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 3538,7800
Least Common Multiple of Numerators i.e. LCM of 3538,7800 is 13798200.
GCF of Denominators means GCF of 382,608 as per the given fractions.
GCF of 382,608 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3538,7800
2 | 3538, 7800 |
1769, 3900 |
∴ So the LCM of the given numbers is 2 x 1769 x 3900 = 13798200
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 3538,7800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3538,7800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3538,7800) x common factors =2 x 1 = 2
LCM(3538,7800) = ( 3538 × 7800 ) / 2
LCM(3538,7800) = 27596400 / 2
LCM(3538,7800) = 13798200
Lets's calculate GCF of 382,608
2 | 382, 608 |
191, 304 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13798200/2
Therefore the LCM of Fractions 3538/382,7800/608 is 6899100
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 382,608 . The biggest common factor number is the GCF number.
So the greatest common factor 382,608 is 2.
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 3538/382, 7800/608?
Answer: LCM of Numerators as per given numbers 3538/382, 7800/608 is
LCM of Numerators i.e. for 3538,7800 is 13798200
GCF of denominators i.e. for 382,608 is 2.
Thus, LCM of Fractions is 6899100.Finally, LCM of Fractions for 3538/382, 7800/608 is 6899100.