Find the LCM of 671, 215, 649, 529, 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 671, 215, 649, 529, 624. So, keep reading to learn more.
Given numbers are 671,215,649,529,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,215,649,529,624 is 2809656666960.
Find LCM of 671,215,649,529,624 with Prime Factorization
11 | 671, 215, 649, 529, 624 |
61, 215, 59, 529, 624 |
Multiply the prime numbers at the bottom and the left side.
11 x 61 x 215 x 59 x 529 x 624 = 2809656666960
Therefore, the lowest common multiple of 671,215,649,529,624 is 2809656666960.
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.
671 x 215 x 649 x 529 x 624 = 30906223336560
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.
671 : 1, 11, 61, 671
215 : 1, 5, 43, 215
649 : 1, 11, 59, 649
529 : 1, 23, 529
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 671,215,649,529,624, is 1.
Now, the common factors can be found like this.
671:11x 61
215:5x 43
649:11x 59
529:23x 23
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.
11 = 11
Therefore, the value for common factors is 11.
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 = 30906223336560/(1x11)
LCM = 30906223336560/11
LCM = 2809656666960
Thus, we can understand that the LCM of 671,215,649,529,624 is 2809656666960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 215, 649, 529, 624?
Answer: LCM of 671, 215, 649, 529, 624 is 2809656666960.
2. How to calculate the LCM of 671, 215, 649, 529, 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 671, 215, 649, 529, 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}.