Find the LCM of 677, 570, 654, 418, 855 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 677, 570, 654, 418, 855. So, keep reading to learn more.
Given numbers are 677,570,654,418,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,570,654,418,855 is 1388046330.
Find LCM of 677,570,654,418,855 with Prime Factorization
2 | 677, 570, 654, 418, 855 |
3 | 677, 285, 327, 209, 855 |
5 | 677, 95, 109, 209, 285 |
19 | 677, 19, 109, 209, 57 |
677, 1, 109, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 677 x 1 x 109 x 11 x 3 = 1388046330
Therefore, the lowest common multiple of 677,570,654,418,855 is 1388046330.
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.
677 x 570 x 654 x 418 x 855 = 90195250523400
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.
677 : 1, 677
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
654 : 1, 2, 3, 6, 109, 218, 327, 654
418 : 1, 2, 11, 19, 22, 38, 209, 418
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,570,654,418,855, is 1.
Now, the common factors can be found like this.
677:677
570:2x 3x 5x 19
654:2x 3x 109
418:2x 11x 19
855:3x 3x 5x 19
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 3x 3x 5x 19x 19 = 64980
Therefore, the value for common factors is 64980.
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 = 90195250523400/(1x64980)
LCM = 90195250523400/64980
LCM = 1388046330
Thus, we can understand that the LCM of 677,570,654,418,855 is 1388046330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 677, 570, 654, 418, 855?
Answer: LCM of 677, 570, 654, 418, 855 is 1388046330.
2. How to calculate the LCM of 677, 570, 654, 418, 855?
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 677, 570, 654, 418, 855.
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}.