Find the LCM of 923, 832, 299, 667 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 923, 832, 299, 667. So, keep reading to learn more.
Given numbers are 923,832,299,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,832,299,667 is 39401024.
Find LCM of 923,832,299,667 with Prime Factorization
13 | 923, 832, 299, 667 |
23 | 71, 64, 23, 667 |
71, 64, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 71 x 64 x 1 x 29 = 39401024
Therefore, the lowest common multiple of 923,832,299,667 is 39401024.
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.
923 x 832 x 299 x 667 = 153151780288
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.
923 : 1, 13, 71, 923
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
299 : 1, 13, 23, 299
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,832,299,667, is 1.
Now, the common factors can be found like this.
923:13x 71
832:2x 2x 2x 2x 2x 2x 13
299:13x 23
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 23 = 3887
Therefore, the value for common factors is 3887.
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 = 153151780288/(1x3887)
LCM = 153151780288/3887
LCM = 39401024
Thus, we can understand that the LCM of 923,832,299,667 is 39401024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 832, 299, 667?
Answer: LCM of 923, 832, 299, 667 is 39401024.
2. How to calculate the LCM of 923, 832, 299, 667?
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 923, 832, 299, 667.
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}.