Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/30, 80/231, 764/939 quickly i.e. 106960/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/30, 80/231, 764/939 is 106960/3.
LCM(70/30, 80/231, 764/939) = 106960/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/30,80/231,764/939
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 70,80,764
Least Common Multiple of Numerators i.e. LCM of 70,80,764 is 106960.
GCF of Denominators means GCF of 30,231,939 as per the given fractions.
GCF of 30,231,939 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,80,764
2 | 70, 80, 764 |
2 | 35, 40, 382 |
5 | 35, 20, 191 |
7, 4, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 4 x 191 = 106960
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 70,80,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,80,764) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(70,80,764) x common factors =2 x 20 = 40
LCM(70,80,764) = ( 70 × 80 × 764 ) / 40
LCM(70,80,764) = 4278400 / 40
LCM(70,80,764) = 106960
Lets's calculate GCF of 30,231,939
3 | 30, 231, 939 |
10, 77, 313 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106960/3
Therefore the LCM of Fractions 70/30,80/231,764/939 is 106960/3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 30,231,939 . The biggest common factor number is the GCF number.
So the greatest common factor 30,231,939 is 3.
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 70/30, 80/231, 764/939?
Answer: LCM of Numerators as per given numbers 70/30, 80/231, 764/939 is
LCM of Numerators i.e. for 70,80,764 is 106960
GCF of denominators i.e. for 30,231,939 is 3.
Thus, LCM of Fractions is 106960/3.Finally, LCM of Fractions for 70/30, 80/231, 764/939 is 106960/3.