LCM of 589, 568, 216, 264, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 568, 216, 264, 931 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, 568, 216, 264, 931. So, keep reading to learn more.
Given numbers are 589,568,216,264,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,568,216,264,931 is 4868735256.
Find LCM of 589,568,216,264,931 with Prime Factorization
| 2 | 589, 568, 216, 264, 931 |
| 2 | 589, 284, 108, 132, 931 |
| 2 | 589, 142, 54, 66, 931 |
| 3 | 589, 71, 27, 33, 931 |
| 19 | 589, 71, 9, 11, 931 |
| 31, 71, 9, 11, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 31 x 71 x 9 x 11 x 49 = 4868735256
Therefore, the lowest common multiple of 589,568,216,264,931 is 4868735256.
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 568 x 216 x 264 x 931 = 17761146213888
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
568 : 1, 2, 4, 8, 71, 142, 284, 568
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,568,216,264,931, is 1.
Now, the common factors can be found like this.
589:19x 31
568:2x 2x 2x 71
216:2x 2x 2x 3x 3x 3
264:2x 2x 2x 3x 11
931:7x 7x 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 2x 2x 2x 3x 19 = 3648
Therefore, the value for common factors is 3648.
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 = 17761146213888/(1x3648)
LCM = 17761146213888/3648
LCM = 4868735256
Thus, we can understand that the LCM of 589,568,216,264,931 is 4868735256.
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FAQs on LCM of 589, 568, 216, 264, 931
1. What is the LCM of 589, 568, 216, 264, 931?
Answer: LCM of 589, 568, 216, 264, 931 is 4868735256.
2. How to calculate the LCM of 589, 568, 216, 264, 931?
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, 568, 216, 264, 931.
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}.