Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 378/912, 726/361 quickly i.e. 45738/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 378/912, 726/361 is 45738/19.
LCM(378/912, 726/361) = 45738/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 378/912,726/361
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 378,726
Least Common Multiple of Numerators i.e. LCM of 378,726 is 45738.
GCF of Denominators means GCF of 912,361 as per the given fractions.
GCF of 912,361 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 378,726
2 | 378, 726 |
3 | 189, 363 |
63, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 63 x 121 = 45738
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 378,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,726) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(378,726) x common factors =6 x 1 = 6
LCM(378,726) = ( 378 × 726 ) / 6
LCM(378,726) = 274428 / 6
LCM(378,726) = 45738
Lets's calculate GCF of 912,361
19 | 912, 361 |
48, 19 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45738/19
Therefore the LCM of Fractions 378/912,726/361 is 45738/19
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 912,361 . The biggest common factor number is the GCF number.
So the greatest common factor 912,361 is 19.
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 378/912, 726/361?
Answer: LCM of Numerators as per given numbers 378/912, 726/361 is
LCM of Numerators i.e. for 378,726 is 45738
GCF of denominators i.e. for 912,361 is 19.
Thus, LCM of Fractions is 45738/19.Finally, LCM of Fractions for 378/912, 726/361 is 45738/19.