Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2346/664, 2019/7144 quickly i.e. 1578858/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2346/664, 2019/7144 is 1578858/8.
LCM(2346/664, 2019/7144) = 1578858/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2346/664,2019/7144
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 2346,2019
Least Common Multiple of Numerators i.e. LCM of 2346,2019 is 1578858.
GCF of Denominators means GCF of 664,7144 as per the given fractions.
GCF of 664,7144 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2346,2019
3 | 2346, 2019 |
782, 673 |
∴ So the LCM of the given numbers is 3 x 782 x 673 = 1578858
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 2346,2019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2346,2019) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2346,2019) x common factors =3 x 1 = 3
LCM(2346,2019) = ( 2346 × 2019 ) / 3
LCM(2346,2019) = 4736574 / 3
LCM(2346,2019) = 1578858
Lets's calculate GCF of 664,7144
2 | 664, 7144 |
2 | 332, 3572 |
2 | 166, 1786 |
83, 893 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1578858/8
Therefore the LCM of Fractions 2346/664,2019/7144 is 1578858/8
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 7144
List of positive integer factors of 7144 that divides 7144 without a remainder.
1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144
Greatest Common Factor
We found the factors 664,7144 . The biggest common factor number is the GCF number.
So the greatest common factor 664,7144 is 8.
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 2346/664, 2019/7144?
Answer: LCM of Numerators as per given numbers 2346/664, 2019/7144 is
LCM of Numerators i.e. for 2346,2019 is 1578858
GCF of denominators i.e. for 664,7144 is 8.
Thus, LCM of Fractions is 1578858/8.Finally, LCM of Fractions for 2346/664, 2019/7144 is 1578858/8.