Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 126/185, 5724/664 quickly i.e. 40068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 126/185, 5724/664 is 40068.
LCM(126/185, 5724/664) = 40068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 126/185,5724/664
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 126,5724
Least Common Multiple of Numerators i.e. LCM of 126,5724 is 40068.
GCF of Denominators means GCF of 185,664 as per the given fractions.
GCF of 185,664 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 126,5724
2 | 126, 5724 |
3 | 63, 2862 |
3 | 21, 954 |
7, 318 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 318 = 40068
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 126,5724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,5724) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(126,5724) x common factors =18 x 1 = 18
LCM(126,5724) = ( 126 × 5724 ) / 18
LCM(126,5724) = 721224 / 18
LCM(126,5724) = 40068
Lets's calculate GCF of 185,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40068/1
Therefore the LCM of Fractions 126/185,5724/664 is 40068
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
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 185,664 . The biggest common factor number is the GCF number.
So the greatest common factor 185,664 is 1.
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 126/185, 5724/664?
Answer: LCM of Numerators as per given numbers 126/185, 5724/664 is
LCM of Numerators i.e. for 126,5724 is 40068
GCF of denominators i.e. for 185,664 is 1.
Thus, LCM of Fractions is 40068.Finally, LCM of Fractions for 126/185, 5724/664 is 40068.