Find the LCM of 814, 714, 738, 411, 414 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 814, 714, 738, 411, 414. So, keep reading to learn more.
Given numbers are 814,714,738,411,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,714,738,411,414 is 112627938654.
Find LCM of 814,714,738,411,414 with Prime Factorization
2 | 814, 714, 738, 411, 414 |
3 | 407, 357, 369, 411, 207 |
3 | 407, 119, 123, 137, 69 |
407, 119, 41, 137, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 407 x 119 x 41 x 137 x 23 = 112627938654
Therefore, the lowest common multiple of 814,714,738,411,414 is 112627938654.
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.
814 x 714 x 738 x 411 x 414 = 72982904247792
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
411 : 1, 3, 137, 411
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,714,738,411,414, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
714:2x 3x 7x 17
738:2x 3x 3x 41
411:3x 137
414:2x 3x 3x 23
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 72982904247792/(1x648)
LCM = 72982904247792/648
LCM = 112627938654
Thus, we can understand that the LCM of 814,714,738,411,414 is 112627938654.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 714, 738, 411, 414?
Answer: LCM of 814, 714, 738, 411, 414 is 112627938654.
2. How to calculate the LCM of 814, 714, 738, 411, 414?
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 814, 714, 738, 411, 414.
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}.