LCM of 429, 553, 749, 470, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 553, 749, 470, 517 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 429, 553, 749, 470, 517. So, keep reading to learn more.
Given numbers are 429,553,749,470,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,553,749,470,517 is 11930648730.
Find LCM of 429,553,749,470,517 with Prime Factorization
| 7 | 429, 553, 749, 470, 517 |
| 11 | 429, 79, 107, 470, 517 |
| 47 | 39, 79, 107, 470, 47 |
| 39, 79, 107, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 47 x 39 x 79 x 107 x 10 x 1 = 11930648730
Therefore, the lowest common multiple of 429,553,749,470,517 is 11930648730.
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.
429 x 553 x 749 x 470 x 517 = 43177017753870
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
553 : 1, 7, 79, 553
749 : 1, 7, 107, 749
470 : 1, 2, 5, 10, 47, 94, 235, 470
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,553,749,470,517, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
553:7x 79
749:7x 107
470:2x 5x 47
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 47 = 3619
Therefore, the value for common factors is 3619.
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 = 43177017753870/(1x3619)
LCM = 43177017753870/3619
LCM = 11930648730
Thus, we can understand that the LCM of 429,553,749,470,517 is 11930648730.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 429, 553, 749, 470, 517
1. What is the LCM of 429, 553, 749, 470, 517?
Answer: LCM of 429, 553, 749, 470, 517 is 11930648730.
2. How to calculate the LCM of 429, 553, 749, 470, 517?
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 429, 553, 749, 470, 517.
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}.