Find the LCM of 620, 232, 409, 713, 512 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 620, 232, 409, 713, 512. So, keep reading to learn more.
Given numbers are 620,232,409,713,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,232,409,713,512 is 21649646080.
Find LCM of 620,232,409,713,512 with Prime Factorization
2 | 620, 232, 409, 713, 512 |
2 | 310, 116, 409, 713, 256 |
2 | 155, 58, 409, 713, 128 |
31 | 155, 29, 409, 713, 64 |
5, 29, 409, 23, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 5 x 29 x 409 x 23 x 64 = 21649646080
Therefore, the lowest common multiple of 620,232,409,713,512 is 21649646080.
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.
620 x 232 x 409 x 713 x 512 = 21476448911360
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
232 : 1, 2, 4, 8, 29, 58, 116, 232
409 : 1, 409
713 : 1, 23, 31, 713
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,232,409,713,512, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
232:2x 2x 2x 29
409:409
713:23x 31
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 31 = 992
Therefore, the value for common factors is 992.
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 = 21476448911360/(1x992)
LCM = 21476448911360/992
LCM = 21649646080
Thus, we can understand that the LCM of 620,232,409,713,512 is 21649646080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 232, 409, 713, 512?
Answer: LCM of 620, 232, 409, 713, 512 is 21649646080.
2. How to calculate the LCM of 620, 232, 409, 713, 512?
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 620, 232, 409, 713, 512.
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}.