Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 376/994, 1511/1755 quickly i.e. 568136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 376/994, 1511/1755 is 568136.
LCM(376/994, 1511/1755) = 568136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 376/994,1511/1755
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 376,1511
Least Common Multiple of Numerators i.e. LCM of 376,1511 is 568136.
GCF of Denominators means GCF of 994,1755 as per the given fractions.
GCF of 994,1755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 376,1511
Given numbers has no common factors except 1. So, there LCM is their product i.e 568136
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 376,1511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,1511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,1511) x common factors =1 x 1 = 1
LCM(376,1511) = ( 376 × 1511 ) / 1
LCM(376,1511) = 568136 / 1
LCM(376,1511) = 568136
Lets's calculate GCF of 994,1755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568136/1
Therefore the LCM of Fractions 376/994,1511/1755 is 568136
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 1755
List of positive integer factors of 1755 that divides 1755 without a remainder.
1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 994,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 994,1755 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 376/994, 1511/1755?
Answer: LCM of Numerators as per given numbers 376/994, 1511/1755 is
LCM of Numerators i.e. for 376,1511 is 568136
GCF of denominators i.e. for 994,1755 is 1.
Thus, LCM of Fractions is 568136.Finally, LCM of Fractions for 376/994, 1511/1755 is 568136.