Find the LCM of 689, 493, 533, 208, 212 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 689, 493, 533, 208, 212. So, keep reading to learn more.
Given numbers are 689,493,533,208,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,493,533,208,212 is 222828112.
Find LCM of 689,493,533,208,212 with Prime Factorization
2 | 689, 493, 533, 208, 212 |
2 | 689, 493, 533, 104, 106 |
13 | 689, 493, 533, 52, 53 |
53 | 53, 493, 41, 4, 53 |
1, 493, 41, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 1 x 493 x 41 x 4 x 1 = 222828112
Therefore, the lowest common multiple of 689,493,533,208,212 is 222828112.
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.
689 x 493 x 533 x 208 x 212 = 7983485596736
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.
689 : 1, 13, 53, 689
493 : 1, 17, 29, 493
533 : 1, 13, 41, 533
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,493,533,208,212, is 1.
Now, the common factors can be found like this.
689:13x 53
493:17x 29
533:13x 41
208:2x 2x 2x 2x 13
212:2x 2x 53
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 13x 13x 53 = 35828
Therefore, the value for common factors is 35828.
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 = 7983485596736/(1x35828)
LCM = 7983485596736/35828
LCM = 222828112
Thus, we can understand that the LCM of 689,493,533,208,212 is 222828112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 493, 533, 208, 212?
Answer: LCM of 689, 493, 533, 208, 212 is 222828112.
2. How to calculate the LCM of 689, 493, 533, 208, 212?
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 689, 493, 533, 208, 212.
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}.