LCM of 144 and 151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 144 and 151 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 21744 as output. Here you can check the answer for Find the LCM of 144 and 151.
What is LCM of 144 and 151
Given Numbers are 144, 151
We can find the LCM of 144, 151 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 144 and 151
Multiples of 144 =144,288,432,576,720,864,1008,1152,1296,1440,1584,1728,1872,2016,2160,2304,2448,
Multiples of 151 =151,302,453,604,755,906,1057,1208,1359,1510,1661,1812,1963,2114,2265,2416,2567,
Now, get the least common multiple of 144, 151 which is 21744
So, the LCM of 144, 151 is 21744.
Least Common Multiple (LCM) of 144 and 151 with the help of Prime Factorisation
One method for determining the LCM of 144 and 151 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 144's prime factorization:
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 144 are 2,3.
144 = 24×32
And this is 151's prime factorization:
| 151 | 151 |
| 1 |
Prime factors of 151 are 151.
151 = 1511
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,3,151
.24×32×1511 = 21744
This shows that the LCM of 144 and 151 is 21744.
How to Calculate the LCM of 144 and 151 Using Common Multiples
The first step in determining the Least Common Multiple of 144 and 151 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 144 and 151:
Lets look at the first ten multiples of these numbers, 144 and 151:
144,288,432,576,720,864,1008,1152,1296,2448 are the first ten multiples of 144.
151,302,453,604,755,906,1057,1208,1359,2567 are the first ten multiples of 151.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 144 and 151, for example, are 1728, 2448, and 2416. 21744 is the least common multiple since it is the smallest.
144 and 151 have an LCM of 21744.
Least Common Multiple of 144 and 151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144 and 151, than apply into the LCM equation.
GCF(144,151) = 1
LCM(144,151) = ( 144 × 151) / 1
LCM(144,151) = 21744 / 1
LCM(144,151) = 21744
Related Least Common Multiples of 144
Related Least Common Multiples of 151
Frequently Asked Questions on LCM of 144 and 151
1. What is the LCM of 144 and 151?
The LCM of 144 and 151 is 21744.
2. How to find the lowest common multiple of 144 and 151?
To find the lowest common multiple of 144 and 151, we have to get the multip;es of both numbers and identify the least common multiple in them which is 21744.
3. What are the Factors of 144?
Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.
4. What are the Factors of 151?
Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.
5. How to Find the LCM of 144 and 151?Answer:
Least Common Multiple of 144 and 151 = 21744
Step 1: Find the prime factorization of 144
144 = 2 x 2 x 2 x 2 x 3 x 3
Step 2: Find the prime factorization of 151
151 = 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21744 = 2 x 2 x 2 x 2 x 3 x 3 x 151
Step 4: Therefore, the least common multiple of 144 and 151 is 21744.