Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/57, 98/56, 39/14, 98/665 quickly i.e. 19110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/57, 98/56, 39/14, 98/665 is 19110.
LCM(35/57, 98/56, 39/14, 98/665) = 19110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/57,98/56,39/14,98/665
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 35,98,39,98
Least Common Multiple of Numerators i.e. LCM of 35,98,39,98 is 19110.
GCF of Denominators means GCF of 57,56,14,665 as per the given fractions.
GCF of 57,56,14,665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,98,39,98
2 | 35, 98, 39, 98 |
7 | 35, 49, 39, 49 |
7 | 5, 7, 39, 7 |
5, 1, 39, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 1 x 39 x 1 = 19110
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 35,98,39,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,98,39,98) = 1
common factors(in case of two or more numbers have common factors) = 686
GCF(35,98,39,98) x common factors =1 x 686 = 686
LCM(35,98,39,98) = ( 35 × 98 × 39 × 98 ) / 686
LCM(35,98,39,98) = 13109460 / 686
LCM(35,98,39,98) = 19110
Lets's calculate GCF of 57,56,14,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19110/1
Therefore the LCM of Fractions 35/57,98/56,39/14,98/665 is 19110
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 57,56,14,665 . The biggest common factor number is the GCF number.
So the greatest common factor 57,56,14,665 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 35/57, 98/56, 39/14, 98/665?
Answer: LCM of Numerators as per given numbers 35/57, 98/56, 39/14, 98/665 is
LCM of Numerators i.e. for 35,98,39,98 is 19110
GCF of denominators i.e. for 57,56,14,665 is 1.
Thus, LCM of Fractions is 19110.Finally, LCM of Fractions for 35/57, 98/56, 39/14, 98/665 is 19110.