Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2679/74, 1452/648 quickly i.e. 648318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2679/74, 1452/648 is 648318.
LCM(2679/74, 1452/648) = 648318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2679/74,1452/648
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 2679,1452
Least Common Multiple of Numerators i.e. LCM of 2679,1452 is 1296636.
GCF of Denominators means GCF of 74,648 as per the given fractions.
GCF of 74,648 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2679,1452
3 | 2679, 1452 |
893, 484 |
∴ So the LCM of the given numbers is 3 x 893 x 484 = 1296636
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 2679,1452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2679,1452) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2679,1452) x common factors =3 x 1 = 3
LCM(2679,1452) = ( 2679 × 1452 ) / 3
LCM(2679,1452) = 3889908 / 3
LCM(2679,1452) = 1296636
Lets's calculate GCF of 74,648
2 | 74, 648 |
37, 324 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1296636/2
Therefore the LCM of Fractions 2679/74,1452/648 is 648318
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
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 74,648 . The biggest common factor number is the GCF number.
So the greatest common factor 74,648 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 2679/74, 1452/648?
Answer: LCM of Numerators as per given numbers 2679/74, 1452/648 is
LCM of Numerators i.e. for 2679,1452 is 1296636
GCF of denominators i.e. for 74,648 is 2.
Thus, LCM of Fractions is 648318.Finally, LCM of Fractions for 2679/74, 1452/648 is 648318.