LCM of 988, 339, 534, 513, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 339, 534, 513, 361 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 988, 339, 534, 513, 361. So, keep reading to learn more.
Given numbers are 988,339,534,513,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,339,534,513,361 is 5097330108.
Find LCM of 988,339,534,513,361 with Prime Factorization
| 2 | 988, 339, 534, 513, 361 |
| 3 | 494, 339, 267, 513, 361 |
| 19 | 494, 113, 89, 171, 361 |
| 26, 113, 89, 9, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 26 x 113 x 89 x 9 x 19 = 5097330108
Therefore, the lowest common multiple of 988,339,534,513,361 is 5097330108.
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.
988 x 339 x 534 x 513 x 361 = 33122451041784
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
339 : 1, 3, 113, 339
534 : 1, 2, 3, 6, 89, 178, 267, 534
513 : 1, 3, 9, 19, 27, 57, 171, 513
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,339,534,513,361, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
339:3x 113
534:2x 3x 89
513:3x 3x 3x 19
361:19x 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 3x 3x 19x 19 = 6498
Therefore, the value for common factors is 6498.
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 = 33122451041784/(1x6498)
LCM = 33122451041784/6498
LCM = 5097330108
Thus, we can understand that the LCM of 988,339,534,513,361 is 5097330108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 988, 339, 534, 513, 361
1. What is the LCM of 988, 339, 534, 513, 361?
Answer: LCM of 988, 339, 534, 513, 361 is 5097330108.
2. How to calculate the LCM of 988, 339, 534, 513, 361?
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 988, 339, 534, 513, 361.
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}.