Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1687/168, 2057/664 quickly i.e. 3470159/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1687/168, 2057/664 is 3470159/8.
LCM(1687/168, 2057/664) = 3470159/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1687/168,2057/664
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 1687,2057
Least Common Multiple of Numerators i.e. LCM of 1687,2057 is 3470159.
GCF of Denominators means GCF of 168,664 as per the given fractions.
GCF of 168,664 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1687,2057
Given numbers has no common factors except 1. So, there LCM is their product i.e 3470159
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 1687,2057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1687,2057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1687,2057) x common factors =1 x 1 = 1
LCM(1687,2057) = ( 1687 × 2057 ) / 1
LCM(1687,2057) = 3470159 / 1
LCM(1687,2057) = 3470159
Lets's calculate GCF of 168,664
2 | 168, 664 |
2 | 84, 332 |
2 | 42, 166 |
21, 83 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3470159/8
Therefore the LCM of Fractions 1687/168,2057/664 is 3470159/8
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 168,664 . The biggest common factor number is the GCF number.
So the greatest common factor 168,664 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 1687/168, 2057/664?
Answer: LCM of Numerators as per given numbers 1687/168, 2057/664 is
LCM of Numerators i.e. for 1687,2057 is 3470159
GCF of denominators i.e. for 168,664 is 8.
Thus, LCM of Fractions is 3470159/8.Finally, LCM of Fractions for 1687/168, 2057/664 is 3470159/8.