LCM of 215, 794, 430, 249, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 794, 430, 249, 855 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 215, 794, 430, 249, 855. So, keep reading to learn more.
Given numbers are 215,794,430,249,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,794,430,249,855 is 2422887030.
Find LCM of 215,794,430,249,855 with Prime Factorization
| 2 | 215, 794, 430, 249, 855 |
| 3 | 215, 397, 215, 249, 855 |
| 5 | 215, 397, 215, 83, 285 |
| 43 | 43, 397, 43, 83, 57 |
| 1, 397, 1, 83, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 1 x 397 x 1 x 83 x 57 = 2422887030
Therefore, the lowest common multiple of 215,794,430,249,855 is 2422887030.
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.
215 x 794 x 430 x 249 x 855 = 15627621343500
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.
215 : 1, 5, 43, 215
794 : 1, 2, 397, 794
430 : 1, 2, 5, 10, 43, 86, 215, 430
249 : 1, 3, 83, 249
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,794,430,249,855, is 1.
Now, the common factors can be found like this.
215:5x 43
794:2x 397
430:2x 5x 43
249:3x 83
855:3x 3x 5x 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 3x 5x 5x 43 = 6450
Therefore, the value for common factors is 6450.
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 = 15627621343500/(1x6450)
LCM = 15627621343500/6450
LCM = 2422887030
Thus, we can understand that the LCM of 215,794,430,249,855 is 2422887030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 215, 794, 430, 249, 855
1. What is the LCM of 215, 794, 430, 249, 855?
Answer: LCM of 215, 794, 430, 249, 855 is 2422887030.
2. How to calculate the LCM of 215, 794, 430, 249, 855?
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 215, 794, 430, 249, 855.
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}.