Find the LCM of 299, 717, 342, 546 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 299, 717, 342, 546. So, keep reading to learn more.
Given numbers are 299,717,342,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,717,342,546 is 171077634.
Find LCM of 299,717,342,546 with Prime Factorization
2 | 299, 717, 342, 546 |
3 | 299, 717, 171, 273 |
13 | 299, 239, 57, 91 |
23, 239, 57, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 239 x 57 x 7 = 171077634
Therefore, the lowest common multiple of 299,717,342,546 is 171077634.
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.
299 x 717 x 342 x 546 = 40032166356
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.
299 : 1, 13, 23, 299
717 : 1, 3, 239, 717
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,717,342,546, is 1.
Now, the common factors can be found like this.
299:13x 23
717:3x 239
342:2x 3x 3x 19
546:2x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 40032166356/(1x234)
LCM = 40032166356/234
LCM = 171077634
Thus, we can understand that the LCM of 299,717,342,546 is 171077634.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 717, 342, 546?
Answer: LCM of 299, 717, 342, 546 is 171077634.
2. How to calculate the LCM of 299, 717, 342, 546?
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 299, 717, 342, 546.
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}.