LCM of 403, 637, 351, 219, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 637, 351, 219, 329 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 403, 637, 351, 219, 329. So, keep reading to learn more.
Given numbers are 403,637,351,219,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,637,351,219,329 is 1829302839.
Find LCM of 403,637,351,219,329 with Prime Factorization
| 3 | 403, 637, 351, 219, 329 |
| 7 | 403, 637, 117, 73, 329 |
| 13 | 403, 91, 117, 73, 47 |
| 31, 7, 9, 73, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 31 x 7 x 9 x 73 x 47 = 1829302839
Therefore, the lowest common multiple of 403,637,351,219,329 is 1829302839.
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.
403 x 637 x 351 x 219 x 329 = 6492195775611
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.
403 : 1, 13, 31, 403
637 : 1, 7, 13, 49, 91, 637
351 : 1, 3, 9, 13, 27, 39, 117, 351
219 : 1, 3, 73, 219
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,637,351,219,329, is 1.
Now, the common factors can be found like this.
403:13x 31
637:7x 7x 13
351:3x 3x 3x 13
219:3x 73
329:7x 47
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 13x 13 = 3549
Therefore, the value for common factors is 3549.
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 = 6492195775611/(1x3549)
LCM = 6492195775611/3549
LCM = 1829302839
Thus, we can understand that the LCM of 403,637,351,219,329 is 1829302839.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 637, 351, 219, 329
1. What is the LCM of 403, 637, 351, 219, 329?
Answer: LCM of 403, 637, 351, 219, 329 is 1829302839.
2. How to calculate the LCM of 403, 637, 351, 219, 329?
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 403, 637, 351, 219, 329.
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}.