Find the LCM of 418, 739, 178, 684, 566 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, 739, 178, 684, 566. So, keep reading to learn more.
Given numbers are 418,739,178,684,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,739,178,684,566 is 140045664132.
Find LCM of 418,739,178,684,566 with Prime Factorization
2 | 418, 739, 178, 684, 566 |
19 | 209, 739, 89, 342, 283 |
11, 739, 89, 18, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 11 x 739 x 89 x 18 x 283 = 140045664132
Therefore, the lowest common multiple of 418,739,178,684,566 is 140045664132.
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 739 x 178 x 684 x 566 = 21286940948064
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
739 : 1, 739
178 : 1, 2, 89, 178
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,739,178,684,566, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
739:739
178:2x 89
684:2x 2x 3x 3x 19
566:2x 283
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 19 = 152
Therefore, the value for common factors is 152.
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 = 21286940948064/(1x152)
LCM = 21286940948064/152
LCM = 140045664132
Thus, we can understand that the LCM of 418,739,178,684,566 is 140045664132.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 739, 178, 684, 566?
Answer: LCM of 418, 739, 178, 684, 566 is 140045664132.
2. How to calculate the LCM of 418, 739, 178, 684, 566?
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, 739, 178, 684, 566.
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}.