Find the LCM of 638, 502, 638, 667 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 638, 502, 638, 667. So, keep reading to learn more.
Given numbers are 638,502,638,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,502,638,667 is 3683174.
Find LCM of 638,502,638,667 with Prime Factorization
2 | 638, 502, 638, 667 |
11 | 319, 251, 319, 667 |
29 | 29, 251, 29, 667 |
1, 251, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 1 x 251 x 1 x 23 = 3683174
Therefore, the lowest common multiple of 638,502,638,667 is 3683174.
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.
638 x 502 x 638 x 667 = 136292170696
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
502 : 1, 2, 251, 502
638 : 1, 2, 11, 22, 29, 58, 319, 638
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,502,638,667, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
502:2x 251
638:2x 11x 29
667:23x 29
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 11x 29x 29 = 37004
Therefore, the value for common factors is 37004.
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 = 136292170696/(1x37004)
LCM = 136292170696/37004
LCM = 3683174
Thus, we can understand that the LCM of 638,502,638,667 is 3683174.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 502, 638, 667?
Answer: LCM of 638, 502, 638, 667 is 3683174.
2. How to calculate the LCM of 638, 502, 638, 667?
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 638, 502, 638, 667.
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}.