Find the LCM of 508, 104, 683, 624, 356 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 508, 104, 683, 624, 356. So, keep reading to learn more.
Given numbers are 508,104,683,624,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,104,683,624,356 is 4817248176.
Find LCM of 508,104,683,624,356 with Prime Factorization
2 | 508, 104, 683, 624, 356 |
2 | 254, 52, 683, 312, 178 |
2 | 127, 26, 683, 156, 89 |
13 | 127, 13, 683, 78, 89 |
127, 1, 683, 6, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 127 x 1 x 683 x 6 x 89 = 4817248176
Therefore, the lowest common multiple of 508,104,683,624,356 is 4817248176.
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.
508 x 104 x 683 x 624 x 356 = 8015900964864
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.
508 : 1, 2, 4, 127, 254, 508
104 : 1, 2, 4, 8, 13, 26, 52, 104
683 : 1, 683
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,104,683,624,356, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
104:2x 2x 2x 13
683:683
624:2x 2x 2x 2x 3x 13
356:2x 2x 89
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 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 8015900964864/(1x1664)
LCM = 8015900964864/1664
LCM = 4817248176
Thus, we can understand that the LCM of 508,104,683,624,356 is 4817248176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 104, 683, 624, 356?
Answer: LCM of 508, 104, 683, 624, 356 is 4817248176.
2. How to calculate the LCM of 508, 104, 683, 624, 356?
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 508, 104, 683, 624, 356.
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}.