LCM of 721, 629, 822, 357, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 629, 822, 357, 391 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 721, 629, 822, 357, 391. So, keep reading to learn more.
Given numbers are 721,629,822,357,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,629,822,357,391 is 8574041154.
Find LCM of 721,629,822,357,391 with Prime Factorization
| 3 | 721, 629, 822, 357, 391 |
| 7 | 721, 629, 274, 119, 391 |
| 17 | 103, 629, 274, 17, 391 |
| 103, 37, 274, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 103 x 37 x 274 x 1 x 23 = 8574041154
Therefore, the lowest common multiple of 721,629,822,357,391 is 8574041154.
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.
721 x 629 x 822 x 357 x 391 = 52035855763626
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.
721 : 1, 7, 103, 721
629 : 1, 17, 37, 629
822 : 1, 2, 3, 6, 137, 274, 411, 822
357 : 1, 3, 7, 17, 21, 51, 119, 357
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,629,822,357,391, is 1.
Now, the common factors can be found like this.
721:7x 103
629:17x 37
822:2x 3x 137
357:3x 7x 17
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 17x 17 = 6069
Therefore, the value for common factors is 6069.
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 = 52035855763626/(1x6069)
LCM = 52035855763626/6069
LCM = 8574041154
Thus, we can understand that the LCM of 721,629,822,357,391 is 8574041154.
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FAQs on LCM of 721, 629, 822, 357, 391
1. What is the LCM of 721, 629, 822, 357, 391?
Answer: LCM of 721, 629, 822, 357, 391 is 8574041154.
2. How to calculate the LCM of 721, 629, 822, 357, 391?
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 721, 629, 822, 357, 391.
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}.