Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1624/300, 3801/7554 quickly i.e. 146972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1624/300, 3801/7554 is 146972.
LCM(1624/300, 3801/7554) = 146972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1624/300,3801/7554
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 1624,3801
Least Common Multiple of Numerators i.e. LCM of 1624,3801 is 881832.
GCF of Denominators means GCF of 300,7554 as per the given fractions.
GCF of 300,7554 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1624,3801
7 | 1624, 3801 |
232, 543 |
∴ So the LCM of the given numbers is 7 x 232 x 543 = 881832
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 1624,3801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1624,3801) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(1624,3801) x common factors =7 x 1 = 7
LCM(1624,3801) = ( 1624 × 3801 ) / 7
LCM(1624,3801) = 6172824 / 7
LCM(1624,3801) = 881832
Lets's calculate GCF of 300,7554
2 | 300, 7554 |
3 | 150, 3777 |
50, 1259 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 881832/6
Therefore the LCM of Fractions 1624/300,3801/7554 is 146972
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 7554
List of positive integer factors of 7554 that divides 7554 without a remainder.
1,2,3,6,1259,2518,3777,7554
Greatest Common Factor
We found the factors 300,7554 . The biggest common factor number is the GCF number.
So the greatest common factor 300,7554 is 6.
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 1624/300, 3801/7554?
Answer: LCM of Numerators as per given numbers 1624/300, 3801/7554 is
LCM of Numerators i.e. for 1624,3801 is 881832
GCF of denominators i.e. for 300,7554 is 6.
Thus, LCM of Fractions is 146972.Finally, LCM of Fractions for 1624/300, 3801/7554 is 146972.