Find the LCM of 501, 638, 377, 417, 365 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 501, 638, 377, 417, 365. So, keep reading to learn more.
Given numbers are 501,638,377,417,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,638,377,417,365 is 210818841090.
Find LCM of 501,638,377,417,365 with Prime Factorization
3 | 501, 638, 377, 417, 365 |
29 | 167, 638, 377, 139, 365 |
167, 22, 13, 139, 365 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 167 x 22 x 13 x 139 x 365 = 210818841090
Therefore, the lowest common multiple of 501,638,377,417,365 is 210818841090.
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.
501 x 638 x 377 x 417 x 365 = 18341239174830
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.
501 : 1, 3, 167, 501
638 : 1, 2, 11, 22, 29, 58, 319, 638
377 : 1, 13, 29, 377
417 : 1, 3, 139, 417
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,638,377,417,365, is 1.
Now, the common factors can be found like this.
501:3x 167
638:2x 11x 29
377:13x 29
417:3x 139
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29 = 87
Therefore, the value for common factors is 87.
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 = 18341239174830/(1x87)
LCM = 18341239174830/87
LCM = 210818841090
Thus, we can understand that the LCM of 501,638,377,417,365 is 210818841090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 638, 377, 417, 365?
Answer: LCM of 501, 638, 377, 417, 365 is 210818841090.
2. How to calculate the LCM of 501, 638, 377, 417, 365?
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 501, 638, 377, 417, 365.
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}.