LCM of 153 and 192

9792 is the LCM of 153 and 192. The step-by-step solution using prime factors and special division methods is one of the simple methods to easily understand how to find what is the LCM of 153 and 192, provided along with the use cases of mathematics and real-world problems.

what is the lcm of 153 and 192?
lcm (153 192) = (?)
153 => 3 x 3 x 17
192 => 2 x 2 x 2 x 2 x 2 x 2 x 3

= 3 x 3 x 17 x 2 x 2 x 2 x 2 x 2 x 2
= 9792
lcm (153 and 192) = 9792
9792 is the LCM of 153 and 192.

where,
153 is a positive integer,
192 is a positive integer,
9792 is the LCM of 153 and 192,
{3} in {3 x 3 x 17, 2 x 2 x 2 x 2 x 2 x 2 x 3} is the common factors of 153 and 192,
{3 x 17 x 2 x 2 x 2 x 2 x 2 x 2} in {3 x 3 x 17, 2 x 2 x 2 x 2 x 2 x 2 x 3} are the uncommon factors of 153 and 192.

Use in Mathematics: LCM of 153 and 192
The below are some of the mathematical applications where lcm of 153 and 192 can be used:

to find the least number which is exactly divisible by 153 and 192.
to find the common denominator for two fractions having 153 and 192 as denominators in the unlike fractions addition or subtraction.

Use in Real-world Problems: 153 and 192 lcm
In the context of lcm real world problems, the lcm of 153 and 192 helps to find the exact time when two similar and recurring events with different time schedule happens together at the same time. For example, the real world problems involve lcm in situations to find at what time the bells A and B all toll together, if bell A tolls at 153 seconds and bell B tolls at 192 seconds repeatedly. The answer is that all bells A and B toll together at 9792 seconds for the first time, at 19584 seconds for the second time, at 29376 seconds for the third time and so on.

Important Notes: 153 and 192 lcm
The below are the important notes to be remembered while solving the lcm of 153 and 192:

The common prime factors and the remaining prime factors of 153 and 192 should be multiplied to find the least common multiple of 153 and 192, when solving lcm by using prime factors method.
The results of lcm of 153 and 192, and the lcm of 192 and 153 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.

For values other than 153 and 192, use this below LCM calculator:

The below solved example with step by step work shows how to find what is the lcm of 153 and 192 by using prime factors method and division method.

Solved example using prime factors method:
What is the LCM of 153 and 192?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 153
B = 192

What to be found:
find the lcm of 153 and 192

step 2 Find the prime factors of 153 and 192:
Prime factors of 153 = 3 x 3 x 17
Prime factors of 192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

step 3 Identify the repeated and non-repeated prime factors of 153 and 192:
{3} is the most repeated factor and {3 x 17 x 2 x 2 x 2 x 2 x 2 x 2} are the non-repeated factors of 153 and 192.

step 4 Find the product of repeated and non-repeated prime factors of 153 and 192:
= 3 x 3 x 17 x 2 x 2 x 2 x 2 x 2 x 2
= 9792
lcm(153 and 192) = 9792

Hence,
lcm of 153 and 192 is 9792

Solved example using special division method:
This special division method is one of the easiest ways to understand the entire calculation to find the LCM of 153 and 192.

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 153 and 192

What to be found:
lcm (153, 192) = ?

step 2 Arrange the given integers in the horizontal form with space or comma separated format:
153 and 192

step 3 Choose the divisor which divides each or most of the given integers (153 and 192), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if any integer in 153 and 192 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

2	153	192
2	153	96
2	153	48
2	153	24
2	153	12
2	153	6
3	153	3
3	51	1
17	17	1
	1	1

step 4 Multiply the divisors to find the lcm of 153 and 192:
= 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17
= 9792
LCM(153, 192) = 9792

The LCM of two numbers 153 and 192 is 9792

LCM of 153 and 192

How-to: What is the LCM of 153 and 192?