Find the LCM of 418, 854, 183, 232, 689 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 418, 854, 183, 232, 689. So, keep reading to learn more.
Given numbers are 418,854,183,232,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,854,183,232,689 is 42795945192.
Find LCM of 418,854,183,232,689 with Prime Factorization
2 | 418, 854, 183, 232, 689 |
61 | 209, 427, 183, 116, 689 |
209, 7, 3, 116, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 61 x 209 x 7 x 3 x 116 x 689 = 42795945192
Therefore, the lowest common multiple of 418,854,183,232,689 is 42795945192.
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.
418 x 854 x 183 x 232 x 689 = 10442210626848
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
854 : 1, 2, 7, 14, 61, 122, 427, 854
183 : 1, 3, 61, 183
232 : 1, 2, 4, 8, 29, 58, 116, 232
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,854,183,232,689, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
854:2x 7x 61
183:3x 61
232:2x 2x 2x 29
689:13x 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 61 = 244
Therefore, the value for common factors is 244.
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 = 10442210626848/(1x244)
LCM = 10442210626848/244
LCM = 42795945192
Thus, we can understand that the LCM of 418,854,183,232,689 is 42795945192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 854, 183, 232, 689?
Answer: LCM of 418, 854, 183, 232, 689 is 42795945192.
2. How to calculate the LCM of 418, 854, 183, 232, 689?
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 418, 854, 183, 232, 689.
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}.