Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/10, 233/94, 548/697 quickly i.e. 8810196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/10, 233/94, 548/697 is 8810196.
LCM(69/10, 233/94, 548/697) = 8810196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/10,233/94,548/697
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 69,233,548
Least Common Multiple of Numerators i.e. LCM of 69,233,548 is 8810196.
GCF of Denominators means GCF of 10,94,697 as per the given fractions.
GCF of 10,94,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,233,548
Given numbers has no common factors except 1. So, there LCM is their product i.e 8810196
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 69,233,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,233,548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,233,548) x common factors =1 x 1 = 1
LCM(69,233,548) = ( 69 × 233 × 548 ) / 1
LCM(69,233,548) = 8810196 / 1
LCM(69,233,548) = 8810196
Lets's calculate GCF of 10,94,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8810196/1
Therefore the LCM of Fractions 69/10,233/94,548/697 is 8810196
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 10,94,697 . The biggest common factor number is the GCF number.
So the greatest common factor 10,94,697 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 69/10, 233/94, 548/697?
Answer: LCM of Numerators as per given numbers 69/10, 233/94, 548/697 is
LCM of Numerators i.e. for 69,233,548 is 8810196
GCF of denominators i.e. for 10,94,697 is 1.
Thus, LCM of Fractions is 8810196.Finally, LCM of Fractions for 69/10, 233/94, 548/697 is 8810196.