Find the LCM of 257, 959, 429, 869, 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 257, 959, 429, 869, 429. So, keep reading to learn more.
Given numbers are 257,959,429,869,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,959,429,869,429 is 8352877533.
Find LCM of 257,959,429,869,429 with Prime Factorization
3 | 257, 959, 429, 869, 429 |
11 | 257, 959, 143, 869, 143 |
13 | 257, 959, 13, 79, 13 |
257, 959, 1, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 257 x 959 x 1 x 79 x 1 = 8352877533
Therefore, the lowest common multiple of 257,959,429,869,429 is 8352877533.
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.
257 x 959 x 429 x 869 x 429 = 39417229078227
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.
257 : 1, 257
959 : 1, 7, 137, 959
429 : 1, 3, 11, 13, 33, 39, 143, 429
869 : 1, 11, 79, 869
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 257,959,429,869,429, is 1.
Now, the common factors can be found like this.
257:257
959:7x 137
429:3x 11x 13
869:11x 79
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.
3x 11x 11x 13 = 4719
Therefore, the value for common factors is 4719.
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 = 39417229078227/(1x4719)
LCM = 39417229078227/4719
LCM = 8352877533
Thus, we can understand that the LCM of 257,959,429,869,429 is 8352877533.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 257, 959, 429, 869, 429?
Answer: LCM of 257, 959, 429, 869, 429 is 8352877533.
2. How to calculate the LCM of 257, 959, 429, 869, 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 257, 959, 429, 869, 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}.