Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/57, 11/95, 10/77, 43/739 quickly i.e. 33110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/57, 11/95, 10/77, 43/739 is 33110.
LCM(70/57, 11/95, 10/77, 43/739) = 33110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/57,11/95,10/77,43/739
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 70,11,10,43
Least Common Multiple of Numerators i.e. LCM of 70,11,10,43 is 33110.
GCF of Denominators means GCF of 57,95,77,739 as per the given fractions.
GCF of 57,95,77,739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,11,10,43
2 | 70, 11, 10, 43 |
5 | 35, 11, 5, 43 |
7, 11, 1, 43 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 1 x 43 = 33110
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 70,11,10,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,11,10,43) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,11,10,43) x common factors =1 x 10 = 10
LCM(70,11,10,43) = ( 70 × 11 × 10 × 43 ) / 10
LCM(70,11,10,43) = 331100 / 10
LCM(70,11,10,43) = 33110
Lets's calculate GCF of 57,95,77,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33110/1
Therefore the LCM of Fractions 70/57,11/95,10/77,43/739 is 33110
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 57,95,77,739 . The biggest common factor number is the GCF number.
So the greatest common factor 57,95,77,739 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 70/57, 11/95, 10/77, 43/739?
Answer: LCM of Numerators as per given numbers 70/57, 11/95, 10/77, 43/739 is
LCM of Numerators i.e. for 70,11,10,43 is 33110
GCF of denominators i.e. for 57,95,77,739 is 1.
Thus, LCM of Fractions is 33110.Finally, LCM of Fractions for 70/57, 11/95, 10/77, 43/739 is 33110.