LCM of 429, 956, 902, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 956, 902, 717 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, 956, 902, 717. So, keep reading to learn more.
Given numbers are 429,956,902,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,956,902,717 is 16815084.
Find LCM of 429,956,902,717 with Prime Factorization
| 2 | 429, 956, 902, 717 |
| 3 | 429, 478, 451, 717 |
| 11 | 143, 478, 451, 239 |
| 239 | 13, 478, 41, 239 |
| 13, 2, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 239 x 13 x 2 x 41 x 1 = 16815084
Therefore, the lowest common multiple of 429,956,902,717 is 16815084.
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 956 x 902 x 717 = 265241135016
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
956 : 1, 2, 4, 239, 478, 956
902 : 1, 2, 11, 22, 41, 82, 451, 902
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,956,902,717, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
956:2x 2x 239
902:2x 11x 41
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 239 = 15774
Therefore, the value for common factors is 15774.
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 = 265241135016/(1x15774)
LCM = 265241135016/15774
LCM = 16815084
Thus, we can understand that the LCM of 429,956,902,717 is 16815084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 956, 902, 717
1. What is the LCM of 429, 956, 902, 717?
Answer: LCM of 429, 956, 902, 717 is 16815084.
2. How to calculate the LCM of 429, 956, 902, 717?
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, 956, 902, 717.
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}.