LCM of 459, 350, 715, 315, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 350, 715, 315, 608 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 459, 350, 715, 315, 608. So, keep reading to learn more.
Given numbers are 459,350,715,315,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,350,715,315,608 is 6983776800.
Find LCM of 459,350,715,315,608 with Prime Factorization
| 2 | 459, 350, 715, 315, 608 |
| 3 | 459, 175, 715, 315, 304 |
| 3 | 153, 175, 715, 105, 304 |
| 5 | 51, 175, 715, 35, 304 |
| 7 | 51, 7, 143, 35, 304 |
| 51, 1, 143, 5, 304 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 51 x 1 x 143 x 5 x 304 = 6983776800
Therefore, the lowest common multiple of 459,350,715,315,608 is 6983776800.
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.
459 x 350 x 715 x 315 x 608 = 21998896920000
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
715 : 1, 5, 11, 13, 55, 65, 143, 715
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,350,715,315,608, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
350:2x 5x 5x 7
715:5x 11x 13
315:3x 3x 5x 7
608:2x 2x 2x 2x 2x 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 5x 5x 7 = 3150
Therefore, the value for common factors is 3150.
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 = 21998896920000/(1x3150)
LCM = 21998896920000/3150
LCM = 6983776800
Thus, we can understand that the LCM of 459,350,715,315,608 is 6983776800.
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FAQs on LCM of 459, 350, 715, 315, 608
1. What is the LCM of 459, 350, 715, 315, 608?
Answer: LCM of 459, 350, 715, 315, 608 is 6983776800.
2. How to calculate the LCM of 459, 350, 715, 315, 608?
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 459, 350, 715, 315, 608.
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}.