Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/38, 30/684, 726/692 quickly i.e. 78045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/38, 30/684, 726/692 is 78045.
LCM(43/38, 30/684, 726/692) = 78045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/38,30/684,726/692
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 43,30,726
Least Common Multiple of Numerators i.e. LCM of 43,30,726 is 156090.
GCF of Denominators means GCF of 38,684,692 as per the given fractions.
GCF of 38,684,692 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,30,726
2 | 43, 30, 726 |
3 | 43, 15, 363 |
43, 5, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 5 x 121 = 156090
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 43,30,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,30,726) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(43,30,726) x common factors =1 x 6 = 6
LCM(43,30,726) = ( 43 × 30 × 726 ) / 6
LCM(43,30,726) = 936540 / 6
LCM(43,30,726) = 156090
Lets's calculate GCF of 38,684,692
2 | 38, 684, 692 |
19, 342, 346 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156090/2
Therefore the LCM of Fractions 43/38,30/684,726/692 is 78045
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 38,684,692 . The biggest common factor number is the GCF number.
So the greatest common factor 38,684,692 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 43/38, 30/684, 726/692?
Answer: LCM of Numerators as per given numbers 43/38, 30/684, 726/692 is
LCM of Numerators i.e. for 43,30,726 is 156090
GCF of denominators i.e. for 38,684,692 is 2.
Thus, LCM of Fractions is 78045.Finally, LCM of Fractions for 43/38, 30/684, 726/692 is 78045.