Find the LCM of 518, 697, 814, 840, 237 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 518, 697, 814, 840, 237. So, keep reading to learn more.
Given numbers are 518,697,814,840,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,697,814,840,237 is 18824938440.
Find LCM of 518,697,814,840,237 with Prime Factorization
2 | 518, 697, 814, 840, 237 |
3 | 259, 697, 407, 420, 237 |
7 | 259, 697, 407, 140, 79 |
37 | 37, 697, 407, 20, 79 |
1, 697, 11, 20, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 37 x 1 x 697 x 11 x 20 x 79 = 18824938440
Therefore, the lowest common multiple of 518,697,814,840,237 is 18824938440.
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.
518 x 697 x 814 x 840 x 237 = 58507908671520
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
697 : 1, 17, 41, 697
814 : 1, 2, 11, 22, 37, 74, 407, 814
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,697,814,840,237, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
697:17x 41
814:2x 11x 37
840:2x 2x 2x 3x 5x 7
237:3x 79
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 3x 7x 37 = 3108
Therefore, the value for common factors is 3108.
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 = 58507908671520/(1x3108)
LCM = 58507908671520/3108
LCM = 18824938440
Thus, we can understand that the LCM of 518,697,814,840,237 is 18824938440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 697, 814, 840, 237?
Answer: LCM of 518, 697, 814, 840, 237 is 18824938440.
2. How to calculate the LCM of 518, 697, 814, 840, 237?
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 518, 697, 814, 840, 237.
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}.