LCM of 680, 320, 343, 468, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 320, 343, 468, 507 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 680, 320, 343, 468, 507. So, keep reading to learn more.
Given numbers are 680,320,343,468,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,320,343,468,507 is 2838064320.
Find LCM of 680,320,343,468,507 with Prime Factorization
| 2 | 680, 320, 343, 468, 507 |
| 2 | 340, 160, 343, 234, 507 |
| 2 | 170, 80, 343, 117, 507 |
| 3 | 85, 40, 343, 117, 507 |
| 5 | 85, 40, 343, 39, 169 |
| 13 | 17, 8, 343, 39, 169 |
| 17, 8, 343, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 17 x 8 x 343 x 3 x 13 = 2838064320
Therefore, the lowest common multiple of 680,320,343,468,507 is 2838064320.
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.
680 x 320 x 343 x 468 x 507 = 17709521356800
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
343 : 1, 7, 49, 343
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,320,343,468,507, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
320:2x 2x 2x 2x 2x 2x 5
343:7x 7x 7
468:2x 2x 3x 3x 13
507:3x 13x 13
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 2x 2x 3x 5x 13 = 6240
Therefore, the value for common factors is 6240.
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 = 17709521356800/(1x6240)
LCM = 17709521356800/6240
LCM = 2838064320
Thus, we can understand that the LCM of 680,320,343,468,507 is 2838064320.
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FAQs on LCM of 680, 320, 343, 468, 507
1. What is the LCM of 680, 320, 343, 468, 507?
Answer: LCM of 680, 320, 343, 468, 507 is 2838064320.
2. How to calculate the LCM of 680, 320, 343, 468, 507?
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 680, 320, 343, 468, 507.
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}.