Find the LCM of 29, 78, 13, 26, 499 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 29, 78, 13, 26, 499. So, keep reading to learn more.
Given numbers are 29,78,13,26,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 29,78,13,26,499 is 1128738.
Find LCM of 29,78,13,26,499 with Prime Factorization
2 | 29, 78, 13, 26, 499 |
13 | 29, 39, 13, 13, 499 |
29, 3, 1, 1, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 3 x 1 x 1 x 499 = 1128738
Therefore, the lowest common multiple of 29,78,13,26,499 is 1128738.
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.
29 x 78 x 13 x 26 x 499 = 381513444
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.
29 : 1, 29
78 : 1, 2, 3, 6, 13, 26, 39, 78
13 : 1, 13
26 : 1, 2, 13, 26
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 29,78,13,26,499, is 1.
Now, the common factors can be found like this.
29:29
78:2x 3x 13
13:13
26:2x 13
499:499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 381513444/(1x338)
LCM = 381513444/338
LCM = 1128738
Thus, we can understand that the LCM of 29,78,13,26,499 is 1128738.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 29, 78, 13, 26, 499?
Answer: LCM of 29, 78, 13, 26, 499 is 1128738.
2. How to calculate the LCM of 29, 78, 13, 26, 499?
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 29, 78, 13, 26, 499.
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}.