Find the LCM of 309, 772, 259, 340, 663 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 309, 772, 259, 340, 663. So, keep reading to learn more.
Given numbers are 309,772,259,340,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,772,259,340,663 is 68271244860.
Find LCM of 309,772,259,340,663 with Prime Factorization
2 | 309, 772, 259, 340, 663 |
2 | 309, 386, 259, 170, 663 |
3 | 309, 193, 259, 85, 663 |
17 | 103, 193, 259, 85, 221 |
103, 193, 259, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 103 x 193 x 259 x 5 x 13 = 68271244860
Therefore, the lowest common multiple of 309,772,259,340,663 is 68271244860.
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.
309 x 772 x 259 x 340 x 663 = 13927333951440
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.
309 : 1, 3, 103, 309
772 : 1, 2, 4, 193, 386, 772
259 : 1, 7, 37, 259
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,772,259,340,663, is 1.
Now, the common factors can be found like this.
309:3x 103
772:2x 2x 193
259:7x 37
340:2x 2x 5x 17
663:3x 13x 17
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 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 13927333951440/(1x204)
LCM = 13927333951440/204
LCM = 68271244860
Thus, we can understand that the LCM of 309,772,259,340,663 is 68271244860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 772, 259, 340, 663?
Answer: LCM of 309, 772, 259, 340, 663 is 68271244860.
2. How to calculate the LCM of 309, 772, 259, 340, 663?
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 309, 772, 259, 340, 663.
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}.