Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/909, 7714/1770 quickly i.e. 239134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/909, 7714/1770 is 239134.
LCM(93/909, 7714/1770) = 239134
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/909,7714/1770
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 93,7714
Least Common Multiple of Numerators i.e. LCM of 93,7714 is 717402.
GCF of Denominators means GCF of 909,1770 as per the given fractions.
GCF of 909,1770 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,7714
Given numbers has no common factors except 1. So, there LCM is their product i.e 717402
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 93,7714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7714) x common factors =1 x 1 = 1
LCM(93,7714) = ( 93 × 7714 ) / 1
LCM(93,7714) = 717402 / 1
LCM(93,7714) = 717402
Lets's calculate GCF of 909,1770
3 | 909, 1770 |
303, 590 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 717402/3
Therefore the LCM of Fractions 93/909,7714/1770 is 239134
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 1770
List of positive integer factors of 1770 that divides 1770 without a remainder.
1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Greatest Common Factor
We found the factors 909,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 909,1770 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 93/909, 7714/1770?
Answer: LCM of Numerators as per given numbers 93/909, 7714/1770 is
LCM of Numerators i.e. for 93,7714 is 717402
GCF of denominators i.e. for 909,1770 is 3.
Thus, LCM of Fractions is 239134.Finally, LCM of Fractions for 93/909, 7714/1770 is 239134.