LCM of 598, 361, 348, 368, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 361, 348, 368, 538 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 598, 361, 348, 368, 538. So, keep reading to learn more.
Given numbers are 598,361,348,368,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,361,348,368,538 is 40417542672.
Find LCM of 598,361,348,368,538 with Prime Factorization
| 2 | 598, 361, 348, 368, 538 |
| 2 | 299, 361, 174, 184, 269 |
| 23 | 299, 361, 87, 92, 269 |
| 13, 361, 87, 4, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 13 x 361 x 87 x 4 x 269 = 40417542672
Therefore, the lowest common multiple of 598,361,348,368,538 is 40417542672.
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.
598 x 361 x 348 x 368 x 538 = 14873655703296
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
361 : 1, 19, 361
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,361,348,368,538, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
361:19x 19
348:2x 2x 3x 29
368:2x 2x 2x 2x 23
538:2x 269
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 23 = 368
Therefore, the value for common factors is 368.
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 = 14873655703296/(1x368)
LCM = 14873655703296/368
LCM = 40417542672
Thus, we can understand that the LCM of 598,361,348,368,538 is 40417542672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 361, 348, 368, 538
1. What is the LCM of 598, 361, 348, 368, 538?
Answer: LCM of 598, 361, 348, 368, 538 is 40417542672.
2. How to calculate the LCM of 598, 361, 348, 368, 538?
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 598, 361, 348, 368, 538.
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}.