Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/19, 93/74, 568/962 quickly i.e. 1848840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/19, 93/74, 568/962 is 1848840.
LCM(35/19, 93/74, 568/962) = 1848840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/19,93/74,568/962
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 35,93,568
Least Common Multiple of Numerators i.e. LCM of 35,93,568 is 1848840.
GCF of Denominators means GCF of 19,74,962 as per the given fractions.
GCF of 19,74,962 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,93,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 1848840
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 35,93,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,93,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,93,568) x common factors =1 x 1 = 1
LCM(35,93,568) = ( 35 × 93 × 568 ) / 1
LCM(35,93,568) = 1848840 / 1
LCM(35,93,568) = 1848840
Lets's calculate GCF of 19,74,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1848840/1
Therefore the LCM of Fractions 35/19,93/74,568/962 is 1848840
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 19,74,962 . The biggest common factor number is the GCF number.
So the greatest common factor 19,74,962 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 35/19, 93/74, 568/962?
Answer: LCM of Numerators as per given numbers 35/19, 93/74, 568/962 is
LCM of Numerators i.e. for 35,93,568 is 1848840
GCF of denominators i.e. for 19,74,962 is 1.
Thus, LCM of Fractions is 1848840.Finally, LCM of Fractions for 35/19, 93/74, 568/962 is 1848840.