Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 192, 7296 i.e. 7296 smallest integer divisible by all numbers.
Least common multiple (LCM) of 192, 7296 is 7296.
LCM(192, 7296) = 7296
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 192, 7296 |
2 | 96, 3648 |
2 | 48, 1824 |
2 | 24, 912 |
2 | 12, 456 |
2 | 6, 228 |
3 | 3, 114 |
1, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 38 = 7296
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 192,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,7296) = 192
common factors(in case of two or more numbers have common factors) = 1
GCF(192,7296) x common factors =192 x 1 = 192
LCM(192,7296) = ( 192 × 7296 ) / 192
LCM(192,7296) = 1400832 / 192
LCM(192,7296) = 7296
∴ Least Common Multiple of 192,7296 is 7296
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 192, 7296?
Answer: LCM of 192, 7296 is 7296.
2. What are the Factors of 7296?
Answer: Factors of 7296 are . There are integers that are factors of 7296
3. How to Find the LCM of 192, 7296 ?
Least Common Multiple of 192, 7296.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(192, 7296) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 = 7296.