Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/377, 614/652, 894/918 quickly i.e. 3019038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/377, 614/652, 894/918 is 3019038.
LCM(11/377, 614/652, 894/918) = 3019038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/377,614/652,894/918
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 11,614,894
Least Common Multiple of Numerators i.e. LCM of 11,614,894 is 3019038.
GCF of Denominators means GCF of 377,652,918 as per the given fractions.
GCF of 377,652,918 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,614,894
2 | 11, 614, 894 |
11, 307, 447 |
∴ So the LCM of the given numbers is 2 x 11 x 307 x 447 = 3019038
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 11,614,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,614,894) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,614,894) x common factors =1 x 2 = 2
LCM(11,614,894) = ( 11 × 614 × 894 ) / 2
LCM(11,614,894) = 6038076 / 2
LCM(11,614,894) = 3019038
Lets's calculate GCF of 377,652,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3019038/1
Therefore the LCM of Fractions 11/377,614/652,894/918 is 3019038
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 377,652,918 . The biggest common factor number is the GCF number.
So the greatest common factor 377,652,918 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 11/377, 614/652, 894/918?
Answer: LCM of Numerators as per given numbers 11/377, 614/652, 894/918 is
LCM of Numerators i.e. for 11,614,894 is 3019038
GCF of denominators i.e. for 377,652,918 is 1.
Thus, LCM of Fractions is 3019038.Finally, LCM of Fractions for 11/377, 614/652, 894/918 is 3019038.