Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/697, 33/545, 248/917 quickly i.e. 548328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/697, 33/545, 248/917 is 548328.
LCM(67/697, 33/545, 248/917) = 548328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/697,33/545,248/917
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 67,33,248
Least Common Multiple of Numerators i.e. LCM of 67,33,248 is 548328.
GCF of Denominators means GCF of 697,545,917 as per the given fractions.
GCF of 697,545,917 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,33,248
Given numbers has no common factors except 1. So, there LCM is their product i.e 548328
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 67,33,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,33,248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,33,248) x common factors =1 x 1 = 1
LCM(67,33,248) = ( 67 × 33 × 248 ) / 1
LCM(67,33,248) = 548328 / 1
LCM(67,33,248) = 548328
Lets's calculate GCF of 697,545,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548328/1
Therefore the LCM of Fractions 67/697,33/545,248/917 is 548328
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 697,545,917 . The biggest common factor number is the GCF number.
So the greatest common factor 697,545,917 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 67/697, 33/545, 248/917?
Answer: LCM of Numerators as per given numbers 67/697, 33/545, 248/917 is
LCM of Numerators i.e. for 67,33,248 is 548328
GCF of denominators i.e. for 697,545,917 is 1.
Thus, LCM of Fractions is 548328.Finally, LCM of Fractions for 67/697, 33/545, 248/917 is 548328.