Least Common Multiple of 192, 7296

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

LCM of 192, 7296

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 192,7296

Least Common Multiple (LCM) of 192,7296 is 7296

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

Least Common Multiple of 192,7296 with GCF Formula

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

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 192, 7296

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.