Find the LCM of 464, 587, 506, 614, 861 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 464, 587, 506, 614, 861. So, keep reading to learn more.
Given numbers are 464,587,506,614,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,587,506,614,861 is 18214536733008.
Find LCM of 464,587,506,614,861 with Prime Factorization
2 | 464, 587, 506, 614, 861 |
232, 587, 253, 307, 861 |
Multiply the prime numbers at the bottom and the left side.
2 x 232 x 587 x 253 x 307 x 861 = 18214536733008
Therefore, the lowest common multiple of 464,587,506,614,861 is 18214536733008.
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.
464 x 587 x 506 x 614 x 861 = 72858146932032
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
587 : 1, 587
506 : 1, 2, 11, 22, 23, 46, 253, 506
614 : 1, 2, 307, 614
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,587,506,614,861, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
587:587
506:2x 11x 23
614:2x 307
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 72858146932032/(1x4)
LCM = 72858146932032/4
LCM = 18214536733008
Thus, we can understand that the LCM of 464,587,506,614,861 is 18214536733008.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 464, 587, 506, 614, 861?
Answer: LCM of 464, 587, 506, 614, 861 is 18214536733008.
2. How to calculate the LCM of 464, 587, 506, 614, 861?
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 464, 587, 506, 614, 861.
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}.