Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2974/216, 7431/654 quickly i.e. 3683299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2974/216, 7431/654 is 3683299.
LCM(2974/216, 7431/654) = 3683299
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2974/216,7431/654
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 2974,7431
Least Common Multiple of Numerators i.e. LCM of 2974,7431 is 22099794.
GCF of Denominators means GCF of 216,654 as per the given fractions.
GCF of 216,654 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2974,7431
Given numbers has no common factors except 1. So, there LCM is their product i.e 22099794
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 2974,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2974,7431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2974,7431) x common factors =1 x 1 = 1
LCM(2974,7431) = ( 2974 × 7431 ) / 1
LCM(2974,7431) = 22099794 / 1
LCM(2974,7431) = 22099794
Lets's calculate GCF of 216,654
2 | 216, 654 |
3 | 108, 327 |
36, 109 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22099794/6
Therefore the LCM of Fractions 2974/216,7431/654 is 3683299
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 216,654 . The biggest common factor number is the GCF number.
So the greatest common factor 216,654 is 6.
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 2974/216, 7431/654?
Answer: LCM of Numerators as per given numbers 2974/216, 7431/654 is
LCM of Numerators i.e. for 2974,7431 is 22099794
GCF of denominators i.e. for 216,654 is 6.
Thus, LCM of Fractions is 3683299.Finally, LCM of Fractions for 2974/216, 7431/654 is 3683299.