LCM of 713, 216, 213, 912, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 216, 213, 912, 589 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 713, 216, 213, 912, 589. So, keep reading to learn more.
Given numbers are 713,216,213,912,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,216,213,912,589 is 415513584.
Find LCM of 713,216,213,912,589 with Prime Factorization
| 2 | 713, 216, 213, 912, 589 |
| 2 | 713, 108, 213, 456, 589 |
| 2 | 713, 54, 213, 228, 589 |
| 3 | 713, 27, 213, 114, 589 |
| 19 | 713, 9, 71, 38, 589 |
| 31 | 713, 9, 71, 2, 31 |
| 23, 9, 71, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 31 x 23 x 9 x 71 x 2 x 1 = 415513584
Therefore, the lowest common multiple of 713,216,213,912,589 is 415513584.
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.
713 x 216 x 213 x 912 x 589 = 17621100070272
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.
713 : 1, 23, 31, 713
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
213 : 1, 3, 71, 213
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,216,213,912,589, is 1.
Now, the common factors can be found like this.
713:23x 31
216:2x 2x 2x 3x 3x 3
213:3x 71
912:2x 2x 2x 2x 3x 19
589:19x 31
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 3x 19x 31 = 42408
Therefore, the value for common factors is 42408.
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 = 17621100070272/(1x42408)
LCM = 17621100070272/42408
LCM = 415513584
Thus, we can understand that the LCM of 713,216,213,912,589 is 415513584.
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FAQs on LCM of 713, 216, 213, 912, 589
1. What is the LCM of 713, 216, 213, 912, 589?
Answer: LCM of 713, 216, 213, 912, 589 is 415513584.
2. How to calculate the LCM of 713, 216, 213, 912, 589?
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 713, 216, 213, 912, 589.
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}.