LCM of 699, 621, 667, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 621, 667, 837 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, 621, 667, 837. So, keep reading to learn more.
Given numbers are 699,621,667,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,621,667,837 is 130079007.
Find LCM of 699,621,667,837 with Prime Factorization
| 3 | 699, 621, 667, 837 |
| 3 | 233, 207, 667, 279 |
| 3 | 233, 69, 667, 93 |
| 23 | 233, 23, 667, 31 |
| 233, 1, 29, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 23 x 233 x 1 x 29 x 31 = 130079007
Therefore, the lowest common multiple of 699,621,667,837 is 130079007.
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 621 x 667 x 837 = 242337190041
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
621 : 1, 3, 9, 23, 27, 69, 207, 621
667 : 1, 23, 29, 667
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,621,667,837, is 1.
Now, the common factors can be found like this.
699:3x 233
621:3x 3x 3x 23
667:23x 29
837:3x 3x 3x 31
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 3x 3x 23 = 1863
Therefore, the value for common factors is 1863.
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 = 242337190041/(1x1863)
LCM = 242337190041/1863
LCM = 130079007
Thus, we can understand that the LCM of 699,621,667,837 is 130079007.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 621, 667, 837
1. What is the LCM of 699, 621, 667, 837?
Answer: LCM of 699, 621, 667, 837 is 130079007.
2. How to calculate the LCM of 699, 621, 667, 837?
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, 621, 667, 837.
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}.