LCM of 430, 465, 496, 652, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 430, 465, 496, 652, 705 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 430, 465, 496, 652, 705. So, keep reading to learn more.
Given numbers are 430,465,496,652,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,465,496,652,705 is 2450907120.
Find LCM of 430,465,496,652,705 with Prime Factorization
| 2 | 430, 465, 496, 652, 705 |
| 2 | 215, 465, 248, 326, 705 |
| 3 | 215, 465, 124, 163, 705 |
| 5 | 215, 155, 124, 163, 235 |
| 31 | 43, 31, 124, 163, 47 |
| 43, 1, 4, 163, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 43 x 1 x 4 x 163 x 47 = 2450907120
Therefore, the lowest common multiple of 430,465,496,652,705 is 2450907120.
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.
430 x 465 x 496 x 652 x 705 = 45586872432000
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
465 : 1, 3, 5, 15, 31, 93, 155, 465
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
652 : 1, 2, 4, 163, 326, 652
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,465,496,652,705, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
465:3x 5x 31
496:2x 2x 2x 2x 31
652:2x 2x 163
705:3x 5x 47
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 3x 5x 5x 31 = 18600
Therefore, the value for common factors is 18600.
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 = 45586872432000/(1x18600)
LCM = 45586872432000/18600
LCM = 2450907120
Thus, we can understand that the LCM of 430,465,496,652,705 is 2450907120.
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FAQs on LCM of 430, 465, 496, 652, 705
1. What is the LCM of 430, 465, 496, 652, 705?
Answer: LCM of 430, 465, 496, 652, 705 is 2450907120.
2. How to calculate the LCM of 430, 465, 496, 652, 705?
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 430, 465, 496, 652, 705.
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}.