Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 324/17, 169/42, 821/770 quickly i.e. 44954676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 324/17, 169/42, 821/770 is 44954676.
LCM(324/17, 169/42, 821/770) = 44954676
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 324/17,169/42,821/770
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 324,169,821
Least Common Multiple of Numerators i.e. LCM of 324,169,821 is 44954676.
GCF of Denominators means GCF of 17,42,770 as per the given fractions.
GCF of 17,42,770 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 324,169,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 44954676
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 324,169,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,169,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,169,821) x common factors =1 x 1 = 1
LCM(324,169,821) = ( 324 × 169 × 821 ) / 1
LCM(324,169,821) = 44954676 / 1
LCM(324,169,821) = 44954676
Lets's calculate GCF of 17,42,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44954676/1
Therefore the LCM of Fractions 324/17,169/42,821/770 is 44954676
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 17,42,770 . The biggest common factor number is the GCF number.
So the greatest common factor 17,42,770 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 324/17, 169/42, 821/770?
Answer: LCM of Numerators as per given numbers 324/17, 169/42, 821/770 is
LCM of Numerators i.e. for 324,169,821 is 44954676
GCF of denominators i.e. for 17,42,770 is 1.
Thus, LCM of Fractions is 44954676.Finally, LCM of Fractions for 324/17, 169/42, 821/770 is 44954676.