Find the LCM of 513, 135, 642, 376, 867 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, 135, 642, 376, 867. So, keep reading to learn more.
Given numbers are 513,135,642,376,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,135,642,376,867 is 29823378120.
Find LCM of 513,135,642,376,867 with Prime Factorization
2 | 513, 135, 642, 376, 867 |
3 | 513, 135, 321, 188, 867 |
3 | 171, 45, 107, 188, 289 |
3 | 57, 15, 107, 188, 289 |
19, 5, 107, 188, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 5 x 107 x 188 x 289 = 29823378120
Therefore, the lowest common multiple of 513,135,642,376,867 is 29823378120.
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 135 x 642 x 376 x 867 = 14494161766320
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
642 : 1, 2, 3, 6, 107, 214, 321, 642
376 : 1, 2, 4, 8, 47, 94, 188, 376
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,135,642,376,867, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
135:3x 3x 3x 5
642:2x 3x 107
376:2x 2x 2x 47
867:3x 17x 17
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 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 14494161766320/(1x486)
LCM = 14494161766320/486
LCM = 29823378120
Thus, we can understand that the LCM of 513,135,642,376,867 is 29823378120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 135, 642, 376, 867?
Answer: LCM of 513, 135, 642, 376, 867 is 29823378120.
2. How to calculate the LCM of 513, 135, 642, 376, 867?
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, 135, 642, 376, 867.
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}.