Find the LCM of 704, 211, 614, 506, 866 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 704, 211, 614, 506, 866. So, keep reading to learn more.
Given numbers are 704,211,614,506,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,211,614,506,866 is 454160356672.
Find LCM of 704,211,614,506,866 with Prime Factorization
2 | 704, 211, 614, 506, 866 |
11 | 352, 211, 307, 253, 433 |
32, 211, 307, 23, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 32 x 211 x 307 x 23 x 433 = 454160356672
Therefore, the lowest common multiple of 704,211,614,506,866 is 454160356672.
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.
704 x 211 x 614 x 506 x 866 = 39966111387136
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
211 : 1, 211
614 : 1, 2, 307, 614
506 : 1, 2, 11, 22, 23, 46, 253, 506
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,211,614,506,866, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
211:211
614:2x 307
506:2x 11x 23
866:2x 433
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 11 = 88
Therefore, the value for common factors is 88.
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 = 39966111387136/(1x88)
LCM = 39966111387136/88
LCM = 454160356672
Thus, we can understand that the LCM of 704,211,614,506,866 is 454160356672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 211, 614, 506, 866?
Answer: LCM of 704, 211, 614, 506, 866 is 454160356672.
2. How to calculate the LCM of 704, 211, 614, 506, 866?
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 704, 211, 614, 506, 866.
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}.