LCM of 448, 598, 507, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 598, 507, 345 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 448, 598, 507, 345. So, keep reading to learn more.
Given numbers are 448,598,507,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,598,507,345 is 26120640.
Find LCM of 448,598,507,345 with Prime Factorization
| 2 | 448, 598, 507, 345 |
| 3 | 224, 299, 507, 345 |
| 13 | 224, 299, 169, 115 |
| 23 | 224, 23, 13, 115 |
| 224, 1, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 224 x 1 x 13 x 5 = 26120640
Therefore, the lowest common multiple of 448,598,507,345 is 26120640.
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.
448 x 598 x 507 x 345 = 46860428160
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
598 : 1, 2, 13, 23, 26, 46, 299, 598
507 : 1, 3, 13, 39, 169, 507
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,598,507,345, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
598:2x 13x 23
507:3x 13x 13
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 23 = 1794
Therefore, the value for common factors is 1794.
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 = 46860428160/(1x1794)
LCM = 46860428160/1794
LCM = 26120640
Thus, we can understand that the LCM of 448,598,507,345 is 26120640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 448, 598, 507, 345
1. What is the LCM of 448, 598, 507, 345?
Answer: LCM of 448, 598, 507, 345 is 26120640.
2. How to calculate the LCM of 448, 598, 507, 345?
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 448, 598, 507, 345.
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}.