Find the LCM of 589, 327, 279, 489 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 589, 327, 279, 489. So, keep reading to learn more.
Given numbers are 589,327,279,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,327,279,489 is 94182867.
Find LCM of 589,327,279,489 with Prime Factorization
3 | 589, 327, 279, 489 |
31 | 589, 109, 93, 163 |
19, 109, 3, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 19 x 109 x 3 x 163 = 94182867
Therefore, the lowest common multiple of 589,327,279,489 is 94182867.
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.
589 x 327 x 279 x 489 = 26277019893
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.
589 : 1, 19, 31, 589
327 : 1, 3, 109, 327
279 : 1, 3, 9, 31, 93, 279
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,327,279,489, is 1.
Now, the common factors can be found like this.
589:19x 31
327:3x 109
279:3x 3x 31
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 26277019893/(1x279)
LCM = 26277019893/279
LCM = 94182867
Thus, we can understand that the LCM of 589,327,279,489 is 94182867.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 327, 279, 489?
Answer: LCM of 589, 327, 279, 489 is 94182867.
2. How to calculate the LCM of 589, 327, 279, 489?
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 589, 327, 279, 489.
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}.