Find the LCM of 920, 544, 707, 270, 808 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 920, 544, 707, 270, 808. So, keep reading to learn more.
Given numbers are 920,544,707,270,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,544,707,270,808 is 1194207840.
Find LCM of 920,544,707,270,808 with Prime Factorization
2 | 920, 544, 707, 270, 808 |
2 | 460, 272, 707, 135, 404 |
2 | 230, 136, 707, 135, 202 |
5 | 115, 68, 707, 135, 101 |
101 | 23, 68, 707, 27, 101 |
23, 68, 7, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 101 x 23 x 68 x 7 x 27 x 1 = 1194207840
Therefore, the lowest common multiple of 920,544,707,270,808 is 1194207840.
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.
920 x 544 x 707 x 270 x 808 = 77193594777600
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
707 : 1, 7, 101, 707
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,544,707,270,808, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
544:2x 2x 2x 2x 2x 17
707:7x 101
270:2x 3x 3x 3x 5
808:2x 2x 2x 101
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 2x 2x 5x 101 = 64640
Therefore, the value for common factors is 64640.
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 = 77193594777600/(1x64640)
LCM = 77193594777600/64640
LCM = 1194207840
Thus, we can understand that the LCM of 920,544,707,270,808 is 1194207840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 544, 707, 270, 808?
Answer: LCM of 920, 544, 707, 270, 808 is 1194207840.
2. How to calculate the LCM of 920, 544, 707, 270, 808?
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 920, 544, 707, 270, 808.
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}.