LCM of 638, 623, 504, 553, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 623, 504, 553, 419 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 638, 623, 504, 553, 419. So, keep reading to learn more.
Given numbers are 638,623,504,553,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,623,504,553,419 is 473644327464.
Find LCM of 638,623,504,553,419 with Prime Factorization
| 2 | 638, 623, 504, 553, 419 |
| 7 | 319, 623, 252, 553, 419 |
| 319, 89, 36, 79, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 319 x 89 x 36 x 79 x 419 = 473644327464
Therefore, the lowest common multiple of 638,623,504,553,419 is 473644327464.
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.
638 x 623 x 504 x 553 x 419 = 46417144091472
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
623 : 1, 7, 89, 623
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
553 : 1, 7, 79, 553
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,623,504,553,419, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
623:7x 89
504:2x 2x 2x 3x 3x 7
553:7x 79
419:419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7 = 98
Therefore, the value for common factors is 98.
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 = 46417144091472/(1x98)
LCM = 46417144091472/98
LCM = 473644327464
Thus, we can understand that the LCM of 638,623,504,553,419 is 473644327464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 623, 504, 553, 419
1. What is the LCM of 638, 623, 504, 553, 419?
Answer: LCM of 638, 623, 504, 553, 419 is 473644327464.
2. How to calculate the LCM of 638, 623, 504, 553, 419?
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 638, 623, 504, 553, 419.
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}.