Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2784/738, 8075/648 quickly i.e. 22480800/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2784/738, 8075/648 is 22480800/18.
LCM(2784/738, 8075/648) = 22480800/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2784/738,8075/648
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 2784,8075
Least Common Multiple of Numerators i.e. LCM of 2784,8075 is 22480800.
GCF of Denominators means GCF of 738,648 as per the given fractions.
GCF of 738,648 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2784,8075
Given numbers has no common factors except 1. So, there LCM is their product i.e 22480800
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 2784,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2784,8075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2784,8075) x common factors =1 x 1 = 1
LCM(2784,8075) = ( 2784 × 8075 ) / 1
LCM(2784,8075) = 22480800 / 1
LCM(2784,8075) = 22480800
Lets's calculate GCF of 738,648
2 | 738, 648 |
3 | 369, 324 |
3 | 123, 108 |
41, 36 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22480800/18
Therefore the LCM of Fractions 2784/738,8075/648 is 22480800/18
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 738,648 . The biggest common factor number is the GCF number.
So the greatest common factor 738,648 is 18.
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 2784/738, 8075/648?
Answer: LCM of Numerators as per given numbers 2784/738, 8075/648 is
LCM of Numerators i.e. for 2784,8075 is 22480800
GCF of denominators i.e. for 738,648 is 18.
Thus, LCM of Fractions is 22480800/18.Finally, LCM of Fractions for 2784/738, 8075/648 is 22480800/18.