LCM of 699, 912, 845, 588, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 912, 845, 588, 700 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 699, 912, 845, 588, 700. So, keep reading to learn more.
Given numbers are 699,912,845,588,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,912,845,588,700 is 43991984400.
Find LCM of 699,912,845,588,700 with Prime Factorization
| 2 | 699, 912, 845, 588, 700 |
| 2 | 699, 456, 845, 294, 350 |
| 3 | 699, 228, 845, 147, 175 |
| 5 | 233, 76, 845, 49, 175 |
| 7 | 233, 76, 169, 49, 35 |
| 233, 76, 169, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 233 x 76 x 169 x 7 x 5 = 43991984400
Therefore, the lowest common multiple of 699,912,845,588,700 is 43991984400.
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.
699 x 912 x 845 x 588 x 700 = 221719601376000
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.
699 : 1, 3, 233, 699
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
845 : 1, 5, 13, 65, 169, 845
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,912,845,588,700, is 1.
Now, the common factors can be found like this.
699:3x 233
912:2x 2x 2x 2x 3x 19
845:5x 13x 13
588:2x 2x 3x 7x 7
700:2x 2x 5x 5x 7
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 3x 3x 5x 7 = 5040
Therefore, the value for common factors is 5040.
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 = 221719601376000/(1x5040)
LCM = 221719601376000/5040
LCM = 43991984400
Thus, we can understand that the LCM of 699,912,845,588,700 is 43991984400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 699, 912, 845, 588, 700
1. What is the LCM of 699, 912, 845, 588, 700?
Answer: LCM of 699, 912, 845, 588, 700 is 43991984400.
2. How to calculate the LCM of 699, 912, 845, 588, 700?
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 699, 912, 845, 588, 700.
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}.