Find the LCM of 249, 365, 515, 584, 501 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 249, 365, 515, 584, 501. So, keep reading to learn more.
Given numbers are 249,365,515,584,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,365,515,584,501 is 12506503080.
Find LCM of 249,365,515,584,501 with Prime Factorization
3 | 249, 365, 515, 584, 501 |
5 | 83, 365, 515, 584, 167 |
73 | 83, 73, 103, 584, 167 |
83, 1, 103, 8, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 73 x 83 x 1 x 103 x 8 x 167 = 12506503080
Therefore, the lowest common multiple of 249,365,515,584,501 is 12506503080.
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.
249 x 365 x 515 x 584 x 501 = 13694620872600
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.
249 : 1, 3, 83, 249
365 : 1, 5, 73, 365
515 : 1, 5, 103, 515
584 : 1, 2, 4, 8, 73, 146, 292, 584
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,365,515,584,501, is 1.
Now, the common factors can be found like this.
249:3x 83
365:5x 73
515:5x 103
584:2x 2x 2x 73
501:3x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 73 = 1095
Therefore, the value for common factors is 1095.
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 = 13694620872600/(1x1095)
LCM = 13694620872600/1095
LCM = 12506503080
Thus, we can understand that the LCM of 249,365,515,584,501 is 12506503080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 365, 515, 584, 501?
Answer: LCM of 249, 365, 515, 584, 501 is 12506503080.
2. How to calculate the LCM of 249, 365, 515, 584, 501?
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 249, 365, 515, 584, 501.
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}.