Find the LCM of 573, 284, 228, 494, 781 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 573, 284, 228, 494, 781. So, keep reading to learn more.
Given numbers are 573,284,228,494,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,284,228,494,781 is 442142844.
Find LCM of 573,284,228,494,781 with Prime Factorization
2 | 573, 284, 228, 494, 781 |
2 | 573, 142, 114, 247, 781 |
3 | 573, 71, 57, 247, 781 |
19 | 191, 71, 19, 247, 781 |
71 | 191, 71, 1, 13, 781 |
191, 1, 1, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 71 x 191 x 1 x 1 x 13 x 11 = 442142844
Therefore, the lowest common multiple of 573,284,228,494,781 is 442142844.
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.
573 x 284 x 228 x 494 x 781 = 14314816717344
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.
573 : 1, 3, 191, 573
284 : 1, 2, 4, 71, 142, 284
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
494 : 1, 2, 13, 19, 26, 38, 247, 494
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,284,228,494,781, is 1.
Now, the common factors can be found like this.
573:3x 191
284:2x 2x 71
228:2x 2x 3x 19
494:2x 13x 19
781:11x 71
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 19x 71 = 32376
Therefore, the value for common factors is 32376.
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 = 14314816717344/(1x32376)
LCM = 14314816717344/32376
LCM = 442142844
Thus, we can understand that the LCM of 573,284,228,494,781 is 442142844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 284, 228, 494, 781?
Answer: LCM of 573, 284, 228, 494, 781 is 442142844.
2. How to calculate the LCM of 573, 284, 228, 494, 781?
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 573, 284, 228, 494, 781.
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}.