LCM of 719, 545, 396, 451, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 545, 396, 451, 495 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 719, 545, 396, 451, 495. So, keep reading to learn more.
Given numbers are 719,545,396,451,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,545,396,451,495 is 6362157780.
Find LCM of 719,545,396,451,495 with Prime Factorization
| 3 | 719, 545, 396, 451, 495 |
| 3 | 719, 545, 132, 451, 165 |
| 5 | 719, 545, 44, 451, 55 |
| 11 | 719, 109, 44, 451, 11 |
| 719, 109, 4, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 719 x 109 x 4 x 41 x 1 = 6362157780
Therefore, the lowest common multiple of 719,545,396,451,495 is 6362157780.
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.
719 x 545 x 396 x 451 x 495 = 34641949112100
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.
719 : 1, 719
545 : 1, 5, 109, 545
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
451 : 1, 11, 41, 451
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,545,396,451,495, is 1.
Now, the common factors can be found like this.
719:719
545:5x 109
396:2x 2x 3x 3x 11
451:11x 41
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11x 11 = 5445
Therefore, the value for common factors is 5445.
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 = 34641949112100/(1x5445)
LCM = 34641949112100/5445
LCM = 6362157780
Thus, we can understand that the LCM of 719,545,396,451,495 is 6362157780.
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FAQs on LCM of 719, 545, 396, 451, 495
1. What is the LCM of 719, 545, 396, 451, 495?
Answer: LCM of 719, 545, 396, 451, 495 is 6362157780.
2. How to calculate the LCM of 719, 545, 396, 451, 495?
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 719, 545, 396, 451, 495.
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}.