Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 714/33, 507/1872 quickly i.e. 40222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 714/33, 507/1872 is 40222.
LCM(714/33, 507/1872) = 40222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 714/33,507/1872
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 714,507
Least Common Multiple of Numerators i.e. LCM of 714,507 is 120666.
GCF of Denominators means GCF of 33,1872 as per the given fractions.
GCF of 33,1872 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 714,507
3 | 714, 507 |
238, 169 |
∴ So the LCM of the given numbers is 3 x 238 x 169 = 120666
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 714,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(714,507) x common factors =3 x 1 = 3
LCM(714,507) = ( 714 × 507 ) / 3
LCM(714,507) = 361998 / 3
LCM(714,507) = 120666
Lets's calculate GCF of 33,1872
3 | 33, 1872 |
11, 624 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120666/3
Therefore the LCM of Fractions 714/33,507/1872 is 40222
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 1872
List of positive integer factors of 1872 that divides 1872 without a remainder.
1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Greatest Common Factor
We found the factors 33,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 33,1872 is 3.
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 714/33, 507/1872?
Answer: LCM of Numerators as per given numbers 714/33, 507/1872 is
LCM of Numerators i.e. for 714,507 is 120666
GCF of denominators i.e. for 33,1872 is 3.
Thus, LCM of Fractions is 40222.Finally, LCM of Fractions for 714/33, 507/1872 is 40222.