LCM of 143 and 288

41184 is the LCM of 143 and 288. 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 143 and 288, provided along with the use cases of mathematics and real-world problems.

what is the lcm of 143 and 288?
lcm (143 288) = (?)
143 => 11 x 13
288 => 2 x 2 x 2 x 2 x 2 x 3 x 3

= 11 x 13 x 2 x 2 x 2 x 2 x 2 x 3 x 3
= 41184
lcm (143 and 288) = 41184
41184 is the LCM of 143 and 288.

where,
143 is a positive integer,
288 is a positive integer,
41184 is the LCM of 143 and 288,
There is no common factors of 143 and 288 in {11 x 13, 2 x 2 x 2 x 2 x 2 x 3 x 3},
{11 x 13 x 2 x 2 x 2 x 2 x 2 x 3 x 3} in {11 x 13, 2 x 2 x 2 x 2 x 2 x 3 x 3} are the uncommon factors of 143 and 288.

Use in Mathematics: LCM of 143 and 288
The below are some of the mathematical applications where lcm of 143 and 288 can be used:

to find the least number which is exactly divisible by 143 and 288.
to find the common denominator for two fractions having 143 and 288 as denominators in the unlike fractions addition or subtraction.

Use in Real-world Problems: 143 and 288 lcm
In the context of lcm real world problems, the lcm of 143 and 288 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 143 seconds and bell B tolls at 288 seconds repeatedly. The answer is that all bells A and B toll together at 41184 seconds for the first time, at 82368 seconds for the second time, at 123552 seconds for the third time and so on.

Important Notes: 143 and 288 lcm
The below are the important notes to be remembered while solving the lcm of 143 and 288:

The common prime factors and the remaining prime factors of 143 and 288 should be multiplied to find the least common multiple of 143 and 288, when solving lcm by using prime factors method.
The results of lcm of 143 and 288, and the lcm of 288 and 143 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.

For values other than 143 and 288, use this below LCM calculator:

The below solved example with step by step work shows how to find what is the lcm of 143 and 288 by using prime factors method and division method.

Solved example using prime factors method:
What is the LCM of 143 and 288?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 143
B = 288

What to be found:
find the lcm of 143 and 288

step 2 Find the prime factors of 143 and 288:
Prime factors of 143 = 11 x 13
Prime factors of 288 = 2 x 2 x 2 x 2 x 2 x 3 x 3

step 3Identify the repeated and non-repeated prime factors of 143 and 288:
Since there is no common factors between 143 and 288, multiplying the given numbers directly provides the LCM of 143 and 288.
= 143 x 288
= 41184
lcm(143 and 288) = 41184

Hence,
lcm of 143 and 288 is 41184

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 143 and 288.

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 143 and 288

What to be found:
lcm (143, 288) = ?

step 2 Arrange the given integers in the horizontal form with space or comma separated format:
143 and 288

step 3 Choose the divisor which divides each or most of the given integers (143 and 288), 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 143 and 288 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

2	143	288
2	143	144
2	143	72
2	143	36
2	143	18
3	143	9
3	143	3
11	143	1
13	13	1
	1	1

step 4 Multiply the divisors to find the lcm of 143 and 288:
= 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13
= 41184
LCM(143, 288) = 41184

The LCM of two numbers 143 and 288 is 41184

LCM of 143 and 288

How-to: What is the LCM of 143 and 288?