Find the LCM of 248, 221, 731, 638, 624 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 248, 221, 731, 638, 624. So, keep reading to learn more.
Given numbers are 248,221,731,638,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,221,731,638,624 is 4510808016.
Find LCM of 248,221,731,638,624 with Prime Factorization
2 | 248, 221, 731, 638, 624 |
2 | 124, 221, 731, 319, 312 |
2 | 62, 221, 731, 319, 156 |
13 | 31, 221, 731, 319, 78 |
17 | 31, 17, 731, 319, 6 |
31, 1, 43, 319, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 17 x 31 x 1 x 43 x 319 x 6 = 4510808016
Therefore, the lowest common multiple of 248,221,731,638,624 is 4510808016.
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.
248 x 221 x 731 x 638 x 624 = 15950217144576
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
221 : 1, 13, 17, 221
731 : 1, 17, 43, 731
638 : 1, 2, 11, 22, 29, 58, 319, 638
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,221,731,638,624, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
221:13x 17
731:17x 43
638:2x 11x 29
624:2x 2x 2x 2x 3x 13
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 13x 17 = 3536
Therefore, the value for common factors is 3536.
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 = 15950217144576/(1x3536)
LCM = 15950217144576/3536
LCM = 4510808016
Thus, we can understand that the LCM of 248,221,731,638,624 is 4510808016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 221, 731, 638, 624?
Answer: LCM of 248, 221, 731, 638, 624 is 4510808016.
2. How to calculate the LCM of 248, 221, 731, 638, 624?
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 248, 221, 731, 638, 624.
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}.