Find the LCM of 372, 779, 943, 817, 230 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 372, 779, 943, 817, 230. So, keep reading to learn more.
Given numbers are 372,779,943,817,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,779,943,817,230 is 1433001660.
Find LCM of 372,779,943,817,230 with Prime Factorization
2 | 372, 779, 943, 817, 230 |
19 | 186, 779, 943, 817, 115 |
23 | 186, 41, 943, 43, 115 |
41 | 186, 41, 41, 43, 5 |
186, 1, 1, 43, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 41 x 186 x 1 x 1 x 43 x 5 = 1433001660
Therefore, the lowest common multiple of 372,779,943,817,230 is 1433001660.
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.
372 x 779 x 943 x 817 x 230 = 51350181484440
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
779 : 1, 19, 41, 779
943 : 1, 23, 41, 943
817 : 1, 19, 43, 817
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,779,943,817,230, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
779:19x 41
943:23x 41
817:19x 43
230:2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 23x 41 = 35834
Therefore, the value for common factors is 35834.
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 = 51350181484440/(1x35834)
LCM = 51350181484440/35834
LCM = 1433001660
Thus, we can understand that the LCM of 372,779,943,817,230 is 1433001660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 372, 779, 943, 817, 230?
Answer: LCM of 372, 779, 943, 817, 230 is 1433001660.
2. How to calculate the LCM of 372, 779, 943, 817, 230?
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 372, 779, 943, 817, 230.
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}.