LCM of 348, 814, 592, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 814, 592, 144 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 348, 814, 592, 144. So, keep reading to learn more.
Given numbers are 348,814,592,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,814,592,144 is 1699632.
Find LCM of 348,814,592,144 with Prime Factorization
| 2 | 348, 814, 592, 144 |
| 2 | 174, 407, 296, 72 |
| 2 | 87, 407, 148, 36 |
| 2 | 87, 407, 74, 18 |
| 3 | 87, 407, 37, 9 |
| 37 | 29, 407, 37, 3 |
| 29, 11, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 37 x 29 x 11 x 1 x 3 = 1699632
Therefore, the lowest common multiple of 348,814,592,144 is 1699632.
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.
348 x 814 x 592 x 144 = 24148371456
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
814 : 1, 2, 11, 22, 37, 74, 407, 814
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,814,592,144, is 2.
Now, the common factors can be found like this.
348:2x 2x 3x 29
814:2x 11x 37
592:2x 2x 2x 2x 37
144:2x 2x 2x 2x 3x 3
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 2x 2x 3x 37 = 7104
Therefore, the value for common factors is 7104.
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 = 24148371456/(2x7104)
LCM = 24148371456/14208
LCM = 1699632
Thus, we can understand that the LCM of 348,814,592,144 is 1699632.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 348, 814, 592, 144
1. What is the LCM of 348, 814, 592, 144?
Answer: LCM of 348, 814, 592, 144 is 1699632.
2. How to calculate the LCM of 348, 814, 592, 144?
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 348, 814, 592, 144.
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}.