Find the LCM of 478, 498, 923, 572, 216 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 478, 498, 923, 572, 216. So, keep reading to learn more.
Given numbers are 478,498,923,572,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,498,923,572,216 is 43503493176.
Find LCM of 478,498,923,572,216 with Prime Factorization
2 | 478, 498, 923, 572, 216 |
2 | 239, 249, 923, 286, 108 |
3 | 239, 249, 923, 143, 54 |
13 | 239, 83, 923, 143, 18 |
239, 83, 71, 11, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 239 x 83 x 71 x 11 x 18 = 43503493176
Therefore, the lowest common multiple of 478,498,923,572,216 is 43503493176.
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.
478 x 498 x 923 x 572 x 216 = 27146179741824
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.
478 : 1, 2, 239, 478
498 : 1, 2, 3, 6, 83, 166, 249, 498
923 : 1, 13, 71, 923
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,498,923,572,216, is 1.
Now, the common factors can be found like this.
478:2x 239
498:2x 3x 83
923:13x 71
572:2x 2x 11x 13
216:2x 2x 2x 3x 3x 3
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 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 27146179741824/(1x624)
LCM = 27146179741824/624
LCM = 43503493176
Thus, we can understand that the LCM of 478,498,923,572,216 is 43503493176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 498, 923, 572, 216?
Answer: LCM of 478, 498, 923, 572, 216 is 43503493176.
2. How to calculate the LCM of 478, 498, 923, 572, 216?
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 478, 498, 923, 572, 216.
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}.