Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 770/767, 9394/906 quickly i.e. 46970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 770/767, 9394/906 is 46970.
LCM(770/767, 9394/906) = 46970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 770/767,9394/906
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 770,9394
Least Common Multiple of Numerators i.e. LCM of 770,9394 is 46970.
GCF of Denominators means GCF of 767,906 as per the given fractions.
GCF of 767,906 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 770,9394
2 | 770, 9394 |
7 | 385, 4697 |
11 | 55, 671 |
5, 61 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 5 x 61 = 46970
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 770,9394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,9394) = 154
common factors(in case of two or more numbers have common factors) = 1
GCF(770,9394) x common factors =154 x 1 = 154
LCM(770,9394) = ( 770 × 9394 ) / 154
LCM(770,9394) = 7233380 / 154
LCM(770,9394) = 46970
Lets's calculate GCF of 767,906
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46970/1
Therefore the LCM of Fractions 770/767,9394/906 is 46970
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 767,906 . The biggest common factor number is the GCF number.
So the greatest common factor 767,906 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 770/767, 9394/906?
Answer: LCM of Numerators as per given numbers 770/767, 9394/906 is
LCM of Numerators i.e. for 770,9394 is 46970
GCF of denominators i.e. for 767,906 is 1.
Thus, LCM of Fractions is 46970.Finally, LCM of Fractions for 770/767, 9394/906 is 46970.