LCM of 622, 684, 299, 760, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 684, 299, 760, 493 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 622, 684, 299, 760, 493. So, keep reading to learn more.
Given numbers are 622,684,299,760,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,684,299,760,493 is 313570066680.
Find LCM of 622,684,299,760,493 with Prime Factorization
| 2 | 622, 684, 299, 760, 493 |
| 2 | 311, 342, 299, 380, 493 |
| 19 | 311, 171, 299, 190, 493 |
| 311, 9, 299, 10, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 311 x 9 x 299 x 10 x 493 = 313570066680
Therefore, the lowest common multiple of 622,684,299,760,493 is 313570066680.
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.
622 x 684 x 299 x 760 x 493 = 47662650135360
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.
622 : 1, 2, 311, 622
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
299 : 1, 13, 23, 299
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,684,299,760,493, is 1.
Now, the common factors can be found like this.
622:2x 311
684:2x 2x 3x 3x 19
299:13x 23
760:2x 2x 2x 5x 19
493:17x 29
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 19 = 152
Therefore, the value for common factors is 152.
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 = 47662650135360/(1x152)
LCM = 47662650135360/152
LCM = 313570066680
Thus, we can understand that the LCM of 622,684,299,760,493 is 313570066680.
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FAQs on LCM of 622, 684, 299, 760, 493
1. What is the LCM of 622, 684, 299, 760, 493?
Answer: LCM of 622, 684, 299, 760, 493 is 313570066680.
2. How to calculate the LCM of 622, 684, 299, 760, 493?
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 622, 684, 299, 760, 493.
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}.