Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7382/168, 5402/666 quickly i.e. 19938782/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7382/168, 5402/666 is 19938782/6.
LCM(7382/168, 5402/666) = 19938782/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7382/168,5402/666
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 7382,5402
Least Common Multiple of Numerators i.e. LCM of 7382,5402 is 19938782.
GCF of Denominators means GCF of 168,666 as per the given fractions.
GCF of 168,666 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7382,5402
2 | 7382, 5402 |
3691, 2701 |
∴ So the LCM of the given numbers is 2 x 3691 x 2701 = 19938782
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 7382,5402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7382,5402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7382,5402) x common factors =2 x 1 = 2
LCM(7382,5402) = ( 7382 × 5402 ) / 2
LCM(7382,5402) = 39877564 / 2
LCM(7382,5402) = 19938782
Lets's calculate GCF of 168,666
2 | 168, 666 |
3 | 84, 333 |
28, 111 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19938782/6
Therefore the LCM of Fractions 7382/168,5402/666 is 19938782/6
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 168,666 . The biggest common factor number is the GCF number.
So the greatest common factor 168,666 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 7382/168, 5402/666?
Answer: LCM of Numerators as per given numbers 7382/168, 5402/666 is
LCM of Numerators i.e. for 7382,5402 is 19938782
GCF of denominators i.e. for 168,666 is 6.
Thus, LCM of Fractions is 19938782/6.Finally, LCM of Fractions for 7382/168, 5402/666 is 19938782/6.