Find the LCM of 494, 578, 850, 363, 228 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 494, 578, 850, 363, 228. So, keep reading to learn more.
Given numbers are 494,578,850,363,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,578,850,363,228 is 2591202900.
Find LCM of 494,578,850,363,228 with Prime Factorization
2 | 494, 578, 850, 363, 228 |
3 | 247, 289, 425, 363, 114 |
17 | 247, 289, 425, 121, 38 |
19 | 247, 17, 25, 121, 38 |
13, 17, 25, 121, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 13 x 17 x 25 x 121 x 2 = 2591202900
Therefore, the lowest common multiple of 494,578,850,363,228 is 2591202900.
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.
494 x 578 x 850 x 363 x 228 = 20087004880800
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
578 : 1, 2, 17, 34, 289, 578
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
363 : 1, 3, 11, 33, 121, 363
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,578,850,363,228, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
578:2x 17x 17
850:2x 5x 5x 17
363:3x 11x 11
228:2x 2x 3x 19
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 17x 19 = 7752
Therefore, the value for common factors is 7752.
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 = 20087004880800/(1x7752)
LCM = 20087004880800/7752
LCM = 2591202900
Thus, we can understand that the LCM of 494,578,850,363,228 is 2591202900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 578, 850, 363, 228?
Answer: LCM of 494, 578, 850, 363, 228 is 2591202900.
2. How to calculate the LCM of 494, 578, 850, 363, 228?
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 494, 578, 850, 363, 228.
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}.