LCM of 696, 667, 772, 640, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 667, 772, 640, 598 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 696, 667, 772, 640, 598. So, keep reading to learn more.
Given numbers are 696,667,772,640,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,667,772,640,598 is 3213125760.
Find LCM of 696,667,772,640,598 with Prime Factorization
| 2 | 696, 667, 772, 640, 598 |
| 2 | 348, 667, 386, 320, 299 |
| 2 | 174, 667, 193, 160, 299 |
| 23 | 87, 667, 193, 80, 299 |
| 29 | 87, 29, 193, 80, 13 |
| 3, 1, 193, 80, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 29 x 3 x 1 x 193 x 80 x 13 = 3213125760
Therefore, the lowest common multiple of 696,667,772,640,598 is 3213125760.
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.
696 x 667 x 772 x 640 x 598 = 137161912442880
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
667 : 1, 23, 29, 667
772 : 1, 2, 4, 193, 386, 772
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,667,772,640,598, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
667:23x 29
772:2x 2x 193
640:2x 2x 2x 2x 2x 2x 2x 5
598:2x 13x 23
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 23x 29 = 42688
Therefore, the value for common factors is 42688.
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 = 137161912442880/(1x42688)
LCM = 137161912442880/42688
LCM = 3213125760
Thus, we can understand that the LCM of 696,667,772,640,598 is 3213125760.
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FAQs on LCM of 696, 667, 772, 640, 598
1. What is the LCM of 696, 667, 772, 640, 598?
Answer: LCM of 696, 667, 772, 640, 598 is 3213125760.
2. How to calculate the LCM of 696, 667, 772, 640, 598?
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 696, 667, 772, 640, 598.
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}.