Find the LCM of 309, 508, 631, 543, 514 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, 508, 631, 543, 514. So, keep reading to learn more.
Given numbers are 309,508,631,543,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,508,631,543,514 is 4607477776644.
Find LCM of 309,508,631,543,514 with Prime Factorization
2 | 309, 508, 631, 543, 514 |
3 | 309, 254, 631, 543, 257 |
103, 254, 631, 181, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 254 x 631 x 181 x 257 = 4607477776644
Therefore, the lowest common multiple of 309,508,631,543,514 is 4607477776644.
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 508 x 631 x 543 x 514 = 27644866659864
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
508 : 1, 2, 4, 127, 254, 508
631 : 1, 631
543 : 1, 3, 181, 543
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,508,631,543,514, is 1.
Now, the common factors can be found like this.
309:3x 103
508:2x 2x 127
631:631
543:3x 181
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 27644866659864/(1x6)
LCM = 27644866659864/6
LCM = 4607477776644
Thus, we can understand that the LCM of 309,508,631,543,514 is 4607477776644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 508, 631, 543, 514?
Answer: LCM of 309, 508, 631, 543, 514 is 4607477776644.
2. How to calculate the LCM of 309, 508, 631, 543, 514?
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, 508, 631, 543, 514.
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}.