Find the LCM of 563, 208, 970, 780, 508 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 563, 208, 970, 780, 508. So, keep reading to learn more.
Given numbers are 563,208,970,780,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,208,970,780,508 is 21639062640.
Find LCM of 563,208,970,780,508 with Prime Factorization
2 | 563, 208, 970, 780, 508 |
2 | 563, 104, 485, 390, 254 |
5 | 563, 52, 485, 195, 127 |
13 | 563, 52, 97, 39, 127 |
563, 4, 97, 3, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 563 x 4 x 97 x 3 x 127 = 21639062640
Therefore, the lowest common multiple of 563,208,970,780,508 is 21639062640.
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.
563 x 208 x 970 x 780 x 508 = 45009250291200
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.
563 : 1, 563
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
970 : 1, 2, 5, 10, 97, 194, 485, 970
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,208,970,780,508, is 1.
Now, the common factors can be found like this.
563:563
208:2x 2x 2x 2x 13
970:2x 5x 97
780:2x 2x 3x 5x 13
508:2x 2x 127
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 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 45009250291200/(1x2080)
LCM = 45009250291200/2080
LCM = 21639062640
Thus, we can understand that the LCM of 563,208,970,780,508 is 21639062640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 208, 970, 780, 508?
Answer: LCM of 563, 208, 970, 780, 508 is 21639062640.
2. How to calculate the LCM of 563, 208, 970, 780, 508?
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 563, 208, 970, 780, 508.
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}.