Find the LCM of 309, 103, 615, 563 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, 103, 615, 563. So, keep reading to learn more.
Given numbers are 309,103,615,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,103,615,563 is 35663235.
Find LCM of 309,103,615,563 with Prime Factorization
3 | 309, 103, 615, 563 |
103 | 103, 103, 205, 563 |
1, 1, 205, 563 |
Multiply the prime numbers at the bottom and the left side.
3 x 103 x 1 x 1 x 205 x 563 = 35663235
Therefore, the lowest common multiple of 309,103,615,563 is 35663235.
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 103 x 615 x 563 = 11019939615
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
103 : 1, 103
615 : 1, 3, 5, 15, 41, 123, 205, 615
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,103,615,563, is 1.
Now, the common factors can be found like this.
309:3x 103
103:103
615:3x 5x 41
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 103 = 309
Therefore, the value for common factors is 309.
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 = 11019939615/(1x309)
LCM = 11019939615/309
LCM = 35663235
Thus, we can understand that the LCM of 309,103,615,563 is 35663235.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 103, 615, 563?
Answer: LCM of 309, 103, 615, 563 is 35663235.
2. How to calculate the LCM of 309, 103, 615, 563?
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, 103, 615, 563.
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}.