Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 742/56, 191/11, 935/170 quickly i.e. 132510070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 742/56, 191/11, 935/170 is 132510070.
LCM(742/56, 191/11, 935/170) = 132510070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 742/56,191/11,935/170
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 742,191,935
Least Common Multiple of Numerators i.e. LCM of 742,191,935 is 132510070.
GCF of Denominators means GCF of 56,11,170 as per the given fractions.
GCF of 56,11,170 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 742,191,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 132510070
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 742,191,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,191,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,191,935) x common factors =1 x 1 = 1
LCM(742,191,935) = ( 742 × 191 × 935 ) / 1
LCM(742,191,935) = 132510070 / 1
LCM(742,191,935) = 132510070
Lets's calculate GCF of 56,11,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132510070/1
Therefore the LCM of Fractions 742/56,191/11,935/170 is 132510070
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 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 56,11,170 . The biggest common factor number is the GCF number.
So the greatest common factor 56,11,170 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 742/56, 191/11, 935/170?
Answer: LCM of Numerators as per given numbers 742/56, 191/11, 935/170 is
LCM of Numerators i.e. for 742,191,935 is 132510070
GCF of denominators i.e. for 56,11,170 is 1.
Thus, LCM of Fractions is 132510070.Finally, LCM of Fractions for 742/56, 191/11, 935/170 is 132510070.