Find the LCM of 513, 299, 969, 923 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 513, 299, 969, 923. So, keep reading to learn more.
Given numbers are 513,299,969,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,299,969,923 is 185138109.
Find LCM of 513,299,969,923 with Prime Factorization
3 | 513, 299, 969, 923 |
13 | 171, 299, 323, 923 |
19 | 171, 23, 323, 71 |
9, 23, 17, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 9 x 23 x 17 x 71 = 185138109
Therefore, the lowest common multiple of 513,299,969,923 is 185138109.
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.
513 x 299 x 969 x 923 = 137187338769
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
299 : 1, 13, 23, 299
969 : 1, 3, 17, 19, 51, 57, 323, 969
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,299,969,923, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
299:13x 23
969:3x 17x 19
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 137187338769/(1x741)
LCM = 137187338769/741
LCM = 185138109
Thus, we can understand that the LCM of 513,299,969,923 is 185138109.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 299, 969, 923?
Answer: LCM of 513, 299, 969, 923 is 185138109.
2. How to calculate the LCM of 513, 299, 969, 923?
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 513, 299, 969, 923.
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}.