Find the LCM of 508, 943, 215, 430, 851 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 508, 943, 215, 430, 851. So, keep reading to learn more.
Given numbers are 508,943,215,430,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,943,215,430,851 is 3810795020.
Find LCM of 508,943,215,430,851 with Prime Factorization
2 | 508, 943, 215, 430, 851 |
5 | 254, 943, 215, 215, 851 |
23 | 254, 943, 43, 43, 851 |
43 | 254, 41, 43, 43, 37 |
254, 41, 1, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 43 x 254 x 41 x 1 x 1 x 37 = 3810795020
Therefore, the lowest common multiple of 508,943,215,430,851 is 3810795020.
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.
508 x 943 x 215 x 430 x 851 = 37688762747800
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.
508 : 1, 2, 4, 127, 254, 508
943 : 1, 23, 41, 943
215 : 1, 5, 43, 215
430 : 1, 2, 5, 10, 43, 86, 215, 430
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,943,215,430,851, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
943:23x 41
215:5x 43
430:2x 5x 43
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23x 43 = 9890
Therefore, the value for common factors is 9890.
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 = 37688762747800/(1x9890)
LCM = 37688762747800/9890
LCM = 3810795020
Thus, we can understand that the LCM of 508,943,215,430,851 is 3810795020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 943, 215, 430, 851?
Answer: LCM of 508, 943, 215, 430, 851 is 3810795020.
2. How to calculate the LCM of 508, 943, 215, 430, 851?
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 508, 943, 215, 430, 851.
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}.