Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/11, 76/14, 57/55, 38/510 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/11, 76/14, 57/55, 38/510 is 7980.
LCM(35/11, 76/14, 57/55, 38/510) = 7980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/11,76/14,57/55,38/510
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 35,76,57,38
Least Common Multiple of Numerators i.e. LCM of 35,76,57,38 is 7980.
GCF of Denominators means GCF of 11,14,55,510 as per the given fractions.
GCF of 11,14,55,510 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,76,57,38
2 | 35, 76, 57, 38 |
19 | 35, 38, 57, 19 |
35, 2, 3, 1 |
∴ So the LCM of the given numbers is 2 x 19 x 35 x 2 x 3 x 1 = 7980
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 35,76,57,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,76,57,38) = 1
common factors(in case of two or more numbers have common factors) = 722
GCF(35,76,57,38) x common factors =1 x 722 = 722
LCM(35,76,57,38) = ( 35 × 76 × 57 × 38 ) / 722
LCM(35,76,57,38) = 5761560 / 722
LCM(35,76,57,38) = 7980
Lets's calculate GCF of 11,14,55,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/1
Therefore the LCM of Fractions 35/11,76/14,57/55,38/510 is 7980
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 11,14,55,510 . The biggest common factor number is the GCF number.
So the greatest common factor 11,14,55,510 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 35/11, 76/14, 57/55, 38/510?
Answer: LCM of Numerators as per given numbers 35/11, 76/14, 57/55, 38/510 is
LCM of Numerators i.e. for 35,76,57,38 is 7980
GCF of denominators i.e. for 11,14,55,510 is 1.
Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 35/11, 76/14, 57/55, 38/510 is 7980.