LCM of 429, 202, 729, 914, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 202, 729, 914, 572 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, 202, 729, 914, 572. So, keep reading to learn more.
Given numbers are 429,202,729,914,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,202,729,914,572 is 19246915116.
Find LCM of 429,202,729,914,572 with Prime Factorization
| 2 | 429, 202, 729, 914, 572 |
| 3 | 429, 101, 729, 457, 286 |
| 11 | 143, 101, 243, 457, 286 |
| 13 | 13, 101, 243, 457, 26 |
| 1, 101, 243, 457, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 1 x 101 x 243 x 457 x 2 = 19246915116
Therefore, the lowest common multiple of 429,202,729,914,572 is 19246915116.
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 202 x 729 x 914 x 572 = 33027706339056
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
202 : 1, 2, 101, 202
729 : 1, 3, 9, 27, 81, 243, 729
914 : 1, 2, 457, 914
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,202,729,914,572, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
202:2x 101
729:3x 3x 3x 3x 3x 3
914:2x 457
572:2x 2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 33027706339056/(1x1716)
LCM = 33027706339056/1716
LCM = 19246915116
Thus, we can understand that the LCM of 429,202,729,914,572 is 19246915116.
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FAQs on LCM of 429, 202, 729, 914, 572
1. What is the LCM of 429, 202, 729, 914, 572?
Answer: LCM of 429, 202, 729, 914, 572 is 19246915116.
2. How to calculate the LCM of 429, 202, 729, 914, 572?
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, 202, 729, 914, 572.
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}.