Find the LCM of 936, 278, 403, 621, 793 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 936, 278, 403, 621, 793. So, keep reading to learn more.
Given numbers are 936,278,403,621,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,278,403,621,793 is 16975839816.
Find LCM of 936,278,403,621,793 with Prime Factorization
2 | 936, 278, 403, 621, 793 |
3 | 468, 139, 403, 621, 793 |
3 | 156, 139, 403, 207, 793 |
13 | 52, 139, 403, 69, 793 |
4, 139, 31, 69, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 4 x 139 x 31 x 69 x 61 = 16975839816
Therefore, the lowest common multiple of 936,278,403,621,793 is 16975839816.
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.
936 x 278 x 403 x 621 x 793 = 51640504720272
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
278 : 1, 2, 139, 278
403 : 1, 13, 31, 403
621 : 1, 3, 9, 23, 27, 69, 207, 621
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,278,403,621,793, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
278:2x 139
403:13x 31
621:3x 3x 3x 23
793:13x 61
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 3x 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 51640504720272/(1x3042)
LCM = 51640504720272/3042
LCM = 16975839816
Thus, we can understand that the LCM of 936,278,403,621,793 is 16975839816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 278, 403, 621, 793?
Answer: LCM of 936, 278, 403, 621, 793 is 16975839816.
2. How to calculate the LCM of 936, 278, 403, 621, 793?
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 936, 278, 403, 621, 793.
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}.