Find the LCM of 793, 767, 893, 440 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 793, 767, 893, 440. So, keep reading to learn more.
Given numbers are 793,767,893,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,767,893,440 is 18383548040.
Find LCM of 793,767,893,440 with Prime Factorization
13 | 793, 767, 893, 440 |
61, 59, 893, 440 |
Multiply the prime numbers at the bottom and the left side.
13 x 61 x 59 x 893 x 440 = 18383548040
Therefore, the lowest common multiple of 793,767,893,440 is 18383548040.
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.
793 x 767 x 893 x 440 = 238986124520
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.
793 : 1, 13, 61, 793
767 : 1, 13, 59, 767
893 : 1, 19, 47, 893
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,767,893,440, is 1.
Now, the common factors can be found like this.
793:13x 61
767:13x 59
893:19x 47
440:2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 238986124520/(1x13)
LCM = 238986124520/13
LCM = 18383548040
Thus, we can understand that the LCM of 793,767,893,440 is 18383548040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 767, 893, 440?
Answer: LCM of 793, 767, 893, 440 is 18383548040.
2. How to calculate the LCM of 793, 767, 893, 440?
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 793, 767, 893, 440.
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}.