Find the LCM of 236, 958, 509, 985, 415 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 236, 958, 509, 985, 415. So, keep reading to learn more.
Given numbers are 236,958,509,985,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,958,509,985,415 is 4704133319980.
Find LCM of 236,958,509,985,415 with Prime Factorization
2 | 236, 958, 509, 985, 415 |
5 | 118, 479, 509, 985, 415 |
118, 479, 509, 197, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 118 x 479 x 509 x 197 x 83 = 4704133319980
Therefore, the lowest common multiple of 236,958,509,985,415 is 4704133319980.
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.
236 x 958 x 509 x 985 x 415 = 47041333199800
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.
236 : 1, 2, 4, 59, 118, 236
958 : 1, 2, 479, 958
509 : 1, 509
985 : 1, 5, 197, 985
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,958,509,985,415, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
958:2x 479
509:509
985:5x 197
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 47041333199800/(1x10)
LCM = 47041333199800/10
LCM = 4704133319980
Thus, we can understand that the LCM of 236,958,509,985,415 is 4704133319980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 958, 509, 985, 415?
Answer: LCM of 236, 958, 509, 985, 415 is 4704133319980.
2. How to calculate the LCM of 236, 958, 509, 985, 415?
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 236, 958, 509, 985, 415.
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}.