LCM of 351, 513, 807, 578, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 513, 807, 578, 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 351, 513, 807, 578, 538. So, keep reading to learn more.
Given numbers are 351,513,807,578,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,513,807,578,538 is 1036909458.
Find LCM of 351,513,807,578,538 with Prime Factorization
| 2 | 351, 513, 807, 578, 538 |
| 3 | 351, 513, 807, 289, 269 |
| 3 | 117, 171, 269, 289, 269 |
| 3 | 39, 57, 269, 289, 269 |
| 269 | 13, 19, 269, 289, 269 |
| 13, 19, 1, 289, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 269 x 13 x 19 x 1 x 289 x 1 = 1036909458
Therefore, the lowest common multiple of 351,513,807,578,538 is 1036909458.
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.
351 x 513 x 807 x 578 x 538 = 45186440360724
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
513 : 1, 3, 9, 19, 27, 57, 171, 513
807 : 1, 3, 269, 807
578 : 1, 2, 17, 34, 289, 578
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,513,807,578,538, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
513:3x 3x 3x 19
807:3x 269
578:2x 17x 17
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 3x 3x 3x 3x 269 = 43578
Therefore, the value for common factors is 43578.
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 = 45186440360724/(1x43578)
LCM = 45186440360724/43578
LCM = 1036909458
Thus, we can understand that the LCM of 351,513,807,578,538 is 1036909458.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 351, 513, 807, 578, 538
1. What is the LCM of 351, 513, 807, 578, 538?
Answer: LCM of 351, 513, 807, 578, 538 is 1036909458.
2. How to calculate the LCM of 351, 513, 807, 578, 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 351, 513, 807, 578, 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}.