LCM of 689, 968, 784, 308, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 968, 784, 308, 504 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 689, 968, 784, 308, 504. So, keep reading to learn more.
Given numbers are 689,968,784,308,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,968,784,308,504 is 588251664.
Find LCM of 689,968,784,308,504 with Prime Factorization
| 2 | 689, 968, 784, 308, 504 |
| 2 | 689, 484, 392, 154, 252 |
| 2 | 689, 242, 196, 77, 126 |
| 7 | 689, 121, 98, 77, 63 |
| 11 | 689, 121, 14, 11, 9 |
| 689, 1, 14, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 689 x 1 x 14 x 11 x 9 = 588251664
Therefore, the lowest common multiple of 689,968,784,308,504 is 588251664.
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.
689 x 968 x 784 x 308 x 504 = 81169317605376
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.
689 : 1, 13, 53, 689
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,968,784,308,504, is 1.
Now, the common factors can be found like this.
689:13x 53
968:2x 2x 2x 11x 11
784:2x 2x 2x 2x 7x 7
308:2x 2x 7x 11
504:2x 2x 2x 3x 3x 7
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 2x 2x 2x 7x 7x 11 = 137984
Therefore, the value for common factors is 137984.
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 = 81169317605376/(1x137984)
LCM = 81169317605376/137984
LCM = 588251664
Thus, we can understand that the LCM of 689,968,784,308,504 is 588251664.
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FAQs on LCM of 689, 968, 784, 308, 504
1. What is the LCM of 689, 968, 784, 308, 504?
Answer: LCM of 689, 968, 784, 308, 504 is 588251664.
2. How to calculate the LCM of 689, 968, 784, 308, 504?
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 689, 968, 784, 308, 504.
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}.