LCM of 549, 624, 364, 351, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 624, 364, 351, 519 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 549, 624, 364, 351, 519. So, keep reading to learn more.
Given numbers are 549,624,364,351,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,624,364,351,519 is 414859536.
Find LCM of 549,624,364,351,519 with Prime Factorization
| 2 | 549, 624, 364, 351, 519 |
| 2 | 549, 312, 182, 351, 519 |
| 3 | 549, 156, 91, 351, 519 |
| 3 | 183, 52, 91, 117, 173 |
| 13 | 61, 52, 91, 39, 173 |
| 61, 4, 7, 3, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 61 x 4 x 7 x 3 x 173 = 414859536
Therefore, the lowest common multiple of 549,624,364,351,519 is 414859536.
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.
549 x 624 x 364 x 351 x 519 = 22716048753216
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.
549 : 1, 3, 9, 61, 183, 549
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
351 : 1, 3, 9, 13, 27, 39, 117, 351
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,624,364,351,519, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
624:2x 2x 2x 2x 3x 13
364:2x 2x 7x 13
351:3x 3x 3x 13
519:3x 173
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 3x 3x 3x 3x 13x 13 = 54756
Therefore, the value for common factors is 54756.
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 = 22716048753216/(1x54756)
LCM = 22716048753216/54756
LCM = 414859536
Thus, we can understand that the LCM of 549,624,364,351,519 is 414859536.
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FAQs on LCM of 549, 624, 364, 351, 519
1. What is the LCM of 549, 624, 364, 351, 519?
Answer: LCM of 549, 624, 364, 351, 519 is 414859536.
2. How to calculate the LCM of 549, 624, 364, 351, 519?
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 549, 624, 364, 351, 519.
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}.