Find the LCM of 519, 489, 874, 949, 561 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 519, 489, 874, 949, 561. So, keep reading to learn more.
Given numbers are 519,489,874,949,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,489,874,949,561 is 13121219897214.
Find LCM of 519,489,874,949,561 with Prime Factorization
3 | 519, 489, 874, 949, 561 |
173, 163, 874, 949, 187 |
Multiply the prime numbers at the bottom and the left side.
3 x 173 x 163 x 874 x 949 x 187 = 13121219897214
Therefore, the lowest common multiple of 519,489,874,949,561 is 13121219897214.
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.
519 x 489 x 874 x 949 x 561 = 118090979074926
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.
519 : 1, 3, 173, 519
489 : 1, 3, 163, 489
874 : 1, 2, 19, 23, 38, 46, 437, 874
949 : 1, 13, 73, 949
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,489,874,949,561, is 1.
Now, the common factors can be found like this.
519:3x 173
489:3x 163
874:2x 19x 23
949:13x 73
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 118090979074926/(1x9)
LCM = 118090979074926/9
LCM = 13121219897214
Thus, we can understand that the LCM of 519,489,874,949,561 is 13121219897214.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 519, 489, 874, 949, 561?
Answer: LCM of 519, 489, 874, 949, 561 is 13121219897214.
2. How to calculate the LCM of 519, 489, 874, 949, 561?
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 519, 489, 874, 949, 561.
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}.