Find the LCM of 577, 286, 731, 429 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 577, 286, 731, 429. So, keep reading to learn more.
Given numbers are 577,286,731,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,286,731,429 is 361893246.
Find LCM of 577,286,731,429 with Prime Factorization
11 | 577, 286, 731, 429 |
13 | 577, 26, 731, 39 |
577, 2, 731, 3 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 577 x 2 x 731 x 3 = 361893246
Therefore, the lowest common multiple of 577,286,731,429 is 361893246.
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.
577 x 286 x 731 x 429 = 51750734178
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.
577 : 1, 577
286 : 1, 2, 11, 13, 22, 26, 143, 286
731 : 1, 17, 43, 731
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,286,731,429, is 1.
Now, the common factors can be found like this.
577:577
286:2x 11x 13
731:17x 43
429:3x 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.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 51750734178/(1x143)
LCM = 51750734178/143
LCM = 361893246
Thus, we can understand that the LCM of 577,286,731,429 is 361893246.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 286, 731, 429?
Answer: LCM of 577, 286, 731, 429 is 361893246.
2. How to calculate the LCM of 577, 286, 731, 429?
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 577, 286, 731, 429.
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}.