LCM of 514, 410, 185, 649, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 410, 185, 649, 264 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 514, 410, 185, 649, 264. So, keep reading to learn more.
Given numbers are 514,410,185,649,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,410,185,649,264 is 30362997720.
Find LCM of 514,410,185,649,264 with Prime Factorization
| 2 | 514, 410, 185, 649, 264 |
| 5 | 257, 205, 185, 649, 132 |
| 11 | 257, 41, 37, 649, 132 |
| 257, 41, 37, 59, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 257 x 41 x 37 x 59 x 12 = 30362997720
Therefore, the lowest common multiple of 514,410,185,649,264 is 30362997720.
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.
514 x 410 x 185 x 649 x 264 = 6679859498400
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.
514 : 1, 2, 257, 514
410 : 1, 2, 5, 10, 41, 82, 205, 410
185 : 1, 5, 37, 185
649 : 1, 11, 59, 649
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,410,185,649,264, is 1.
Now, the common factors can be found like this.
514:2x 257
410:2x 5x 41
185:5x 37
649:11x 59
264:2x 2x 2x 3x 11
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 6679859498400/(1x220)
LCM = 6679859498400/220
LCM = 30362997720
Thus, we can understand that the LCM of 514,410,185,649,264 is 30362997720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 514, 410, 185, 649, 264
1. What is the LCM of 514, 410, 185, 649, 264?
Answer: LCM of 514, 410, 185, 649, 264 is 30362997720.
2. How to calculate the LCM of 514, 410, 185, 649, 264?
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 514, 410, 185, 649, 264.
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}.