Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/18, 71/48, 606/364 quickly i.e. 2086761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/18, 71/48, 606/364 is 2086761.
LCM(97/18, 71/48, 606/364) = 2086761
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/18,71/48,606/364
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 97,71,606
Least Common Multiple of Numerators i.e. LCM of 97,71,606 is 4173522.
GCF of Denominators means GCF of 18,48,364 as per the given fractions.
GCF of 18,48,364 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,71,606
Given numbers has no common factors except 1. So, there LCM is their product i.e 4173522
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 97,71,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,71,606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,71,606) x common factors =1 x 1 = 1
LCM(97,71,606) = ( 97 × 71 × 606 ) / 1
LCM(97,71,606) = 4173522 / 1
LCM(97,71,606) = 4173522
Lets's calculate GCF of 18,48,364
2 | 18, 48, 364 |
9, 24, 182 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4173522/2
Therefore the LCM of Fractions 97/18,71/48,606/364 is 2086761
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 18,48,364 . The biggest common factor number is the GCF number.
So the greatest common factor 18,48,364 is 2.
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 97/18, 71/48, 606/364?
Answer: LCM of Numerators as per given numbers 97/18, 71/48, 606/364 is
LCM of Numerators i.e. for 97,71,606 is 4173522
GCF of denominators i.e. for 18,48,364 is 2.
Thus, LCM of Fractions is 2086761.Finally, LCM of Fractions for 97/18, 71/48, 606/364 is 2086761.