Find the LCM of 517, 884, 420, 219, 678 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 517, 884, 420, 219, 678. So, keep reading to learn more.
Given numbers are 517,884,420,219,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,884,420,219,678 is 395852517060.
Find LCM of 517,884,420,219,678 with Prime Factorization
2 | 517, 884, 420, 219, 678 |
2 | 517, 442, 210, 219, 339 |
3 | 517, 221, 105, 219, 339 |
517, 221, 35, 73, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 517 x 221 x 35 x 73 x 113 = 395852517060
Therefore, the lowest common multiple of 517,884,420,219,678 is 395852517060.
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.
517 x 884 x 420 x 219 x 678 = 28501381228320
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.
517 : 1, 11, 47, 517
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
219 : 1, 3, 73, 219
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,884,420,219,678, is 1.
Now, the common factors can be found like this.
517:11x 47
884:2x 2x 13x 17
420:2x 2x 3x 5x 7
219:3x 73
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 28501381228320/(1x72)
LCM = 28501381228320/72
LCM = 395852517060
Thus, we can understand that the LCM of 517,884,420,219,678 is 395852517060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 884, 420, 219, 678?
Answer: LCM of 517, 884, 420, 219, 678 is 395852517060.
2. How to calculate the LCM of 517, 884, 420, 219, 678?
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 517, 884, 420, 219, 678.
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}.