Find the LCM of 544, 272, 415, 776, 585 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 544, 272, 415, 776, 585. So, keep reading to learn more.
Given numbers are 544,272,415,776,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,272,415,776,585 is 2562150240.
Find LCM of 544,272,415,776,585 with Prime Factorization
2 | 544, 272, 415, 776, 585 |
2 | 272, 136, 415, 388, 585 |
2 | 68, 136, 415, 194, 585 |
2 | 34, 68, 415, 97, 585 |
5 | 17, 34, 415, 97, 585 |
17 | 17, 34, 83, 97, 117 |
1, 2, 83, 97, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 17 x 1 x 2 x 83 x 97 x 117 = 2562150240
Therefore, the lowest common multiple of 544,272,415,776,585 is 2562150240.
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.
544 x 272 x 415 x 776 x 585 = 27876194611200
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
415 : 1, 5, 83, 415
776 : 1, 2, 4, 8, 97, 194, 388, 776
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,272,415,776,585, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
272:2x 2x 2x 2x 17
415:5x 83
776:2x 2x 2x 97
585:3x 3x 5x 13
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 2x 2x 2x 2x 2x 5x 17 = 10880
Therefore, the value for common factors is 10880.
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 = 27876194611200/(1x10880)
LCM = 27876194611200/10880
LCM = 2562150240
Thus, we can understand that the LCM of 544,272,415,776,585 is 2562150240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 544, 272, 415, 776, 585?
Answer: LCM of 544, 272, 415, 776, 585 is 2562150240.
2. How to calculate the LCM of 544, 272, 415, 776, 585?
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 544, 272, 415, 776, 585.
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}.