Find the LCM of 793, 483, 754, 650, 909 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, 483, 754, 650, 909. So, keep reading to learn more.
Given numbers are 793,483,754,650,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,483,754,650,909 is 168279397650.
Find LCM of 793,483,754,650,909 with Prime Factorization
2 | 793, 483, 754, 650, 909 |
3 | 793, 483, 377, 325, 909 |
13 | 793, 161, 377, 325, 303 |
61, 161, 29, 25, 303 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 61 x 161 x 29 x 25 x 303 = 168279397650
Therefore, the lowest common multiple of 793,483,754,650,909 is 168279397650.
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 483 x 754 x 650 x 909 = 170635309217100
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
483 : 1, 3, 7, 21, 23, 69, 161, 483
754 : 1, 2, 13, 26, 29, 58, 377, 754
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,483,754,650,909, is 1.
Now, the common factors can be found like this.
793:13x 61
483:3x 7x 23
754:2x 13x 29
650:2x 5x 5x 13
909:3x 3x 101
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 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 170635309217100/(1x1014)
LCM = 170635309217100/1014
LCM = 168279397650
Thus, we can understand that the LCM of 793,483,754,650,909 is 168279397650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 483, 754, 650, 909?
Answer: LCM of 793, 483, 754, 650, 909 is 168279397650.
2. How to calculate the LCM of 793, 483, 754, 650, 909?
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, 483, 754, 650, 909.
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}.