Find the LCM of 707, 686, 838, 132, 704 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 707, 686, 838, 132, 704. So, keep reading to learn more.
Given numbers are 707,686,838,132,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,686,838,132,704 is 30656560704.
Find LCM of 707,686,838,132,704 with Prime Factorization
2 | 707, 686, 838, 132, 704 |
2 | 707, 343, 419, 66, 352 |
7 | 707, 343, 419, 33, 176 |
11 | 101, 49, 419, 33, 176 |
101, 49, 419, 3, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 101 x 49 x 419 x 3 x 16 = 30656560704
Therefore, the lowest common multiple of 707,686,838,132,704 is 30656560704.
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.
707 x 686 x 838 x 132 x 704 = 37768882787328
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.
707 : 1, 7, 101, 707
686 : 1, 2, 7, 14, 49, 98, 343, 686
838 : 1, 2, 419, 838
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,686,838,132,704, is 1.
Now, the common factors can be found like this.
707:7x 101
686:2x 7x 7x 7
838:2x 419
132:2x 2x 3x 11
704:2x 2x 2x 2x 2x 2x 11
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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 37768882787328/(1x1232)
LCM = 37768882787328/1232
LCM = 30656560704
Thus, we can understand that the LCM of 707,686,838,132,704 is 30656560704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 686, 838, 132, 704?
Answer: LCM of 707, 686, 838, 132, 704 is 30656560704.
2. How to calculate the LCM of 707, 686, 838, 132, 704?
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 707, 686, 838, 132, 704.
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}.