LCM of 368, 323, 144, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 323, 144, 741 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 368, 323, 144, 741. So, keep reading to learn more.
Given numbers are 368,323,144,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,323,144,741 is 13907088.
Find LCM of 368,323,144,741 with Prime Factorization
| 2 | 368, 323, 144, 741 |
| 2 | 184, 323, 72, 741 |
| 2 | 92, 323, 36, 741 |
| 2 | 46, 323, 18, 741 |
| 3 | 23, 323, 9, 741 |
| 19 | 23, 323, 3, 247 |
| 23, 17, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 23 x 17 x 3 x 13 = 13907088
Therefore, the lowest common multiple of 368,323,144,741 is 13907088.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
368 x 323 x 144 x 741 = 12683264256
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
323 : 1, 17, 19, 323
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,323,144,741, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
323:17x 19
144:2x 2x 2x 2x 3x 3
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 19 = 912
Therefore, the value for common factors is 912.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12683264256/(1x912)
LCM = 12683264256/912
LCM = 13907088
Thus, we can understand that the LCM of 368,323,144,741 is 13907088.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 368, 323, 144, 741
1. What is the LCM of 368, 323, 144, 741?
Answer: LCM of 368, 323, 144, 741 is 13907088.
2. How to calculate the LCM of 368, 323, 144, 741?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 368, 323, 144, 741.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.