Find the LCM of 632, 464, 404, 707, 723 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 632, 464, 404, 707, 723. So, keep reading to learn more.
Given numbers are 632,464,404,707,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,464,404,707,723 is 18737117616.
Find LCM of 632,464,404,707,723 with Prime Factorization
2 | 632, 464, 404, 707, 723 |
2 | 316, 232, 202, 707, 723 |
2 | 158, 116, 101, 707, 723 |
101 | 79, 58, 101, 707, 723 |
79, 58, 1, 7, 723 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 79 x 58 x 1 x 7 x 723 = 18737117616
Therefore, the lowest common multiple of 632,464,404,707,723 is 18737117616.
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.
632 x 464 x 404 x 707 x 723 = 60558364134912
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
404 : 1, 2, 4, 101, 202, 404
707 : 1, 7, 101, 707
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,464,404,707,723, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
464:2x 2x 2x 2x 29
404:2x 2x 101
707:7x 101
723:3x 241
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 2x 2x 101 = 3232
Therefore, the value for common factors is 3232.
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 = 60558364134912/(1x3232)
LCM = 60558364134912/3232
LCM = 18737117616
Thus, we can understand that the LCM of 632,464,404,707,723 is 18737117616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 464, 404, 707, 723?
Answer: LCM of 632, 464, 404, 707, 723 is 18737117616.
2. How to calculate the LCM of 632, 464, 404, 707, 723?
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 632, 464, 404, 707, 723.
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}.