Find the LCM of 793, 264, 314, 120, 745 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, 264, 314, 120, 745. So, keep reading to learn more.
Given numbers are 793,264,314,120,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,264,314,120,745 is 24486856680.
Find LCM of 793,264,314,120,745 with Prime Factorization
2 | 793, 264, 314, 120, 745 |
2 | 793, 132, 157, 60, 745 |
2 | 793, 66, 157, 30, 745 |
3 | 793, 33, 157, 15, 745 |
5 | 793, 11, 157, 5, 745 |
793, 11, 157, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 793 x 11 x 157 x 1 x 149 = 24486856680
Therefore, the lowest common multiple of 793,264,314,120,745 is 24486856680.
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 264 x 314 x 120 x 745 = 5876845603200
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
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
314 : 1, 2, 157, 314
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,264,314,120,745, is 1.
Now, the common factors can be found like this.
793:13x 61
264:2x 2x 2x 3x 11
314:2x 157
120:2x 2x 2x 3x 5
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 5876845603200/(1x240)
LCM = 5876845603200/240
LCM = 24486856680
Thus, we can understand that the LCM of 793,264,314,120,745 is 24486856680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 264, 314, 120, 745?
Answer: LCM of 793, 264, 314, 120, 745 is 24486856680.
2. How to calculate the LCM of 793, 264, 314, 120, 745?
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, 264, 314, 120, 745.
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}.