Find the LCM of 268, 665, 240, 722, 805 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 268, 665, 240, 722, 805. So, keep reading to learn more.
Given numbers are 268,665,240,722,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,665,240,722,805 is 934585680.
Find LCM of 268,665,240,722,805 with Prime Factorization
2 | 268, 665, 240, 722, 805 |
2 | 134, 665, 120, 361, 805 |
5 | 67, 665, 60, 361, 805 |
7 | 67, 133, 12, 361, 161 |
19 | 67, 19, 12, 361, 23 |
67, 1, 12, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 19 x 67 x 1 x 12 x 19 x 23 = 934585680
Therefore, the lowest common multiple of 268,665,240,722,805 is 934585680.
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.
268 x 665 x 240 x 722 x 805 = 24859979088000
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.
268 : 1, 2, 4, 67, 134, 268
665 : 1, 5, 7, 19, 35, 95, 133, 665
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
722 : 1, 2, 19, 38, 361, 722
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,665,240,722,805, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
665:5x 7x 19
240:2x 2x 2x 2x 3x 5
722:2x 19x 19
805:5x 7x 23
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 5x 5x 7x 19 = 26600
Therefore, the value for common factors is 26600.
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 = 24859979088000/(1x26600)
LCM = 24859979088000/26600
LCM = 934585680
Thus, we can understand that the LCM of 268,665,240,722,805 is 934585680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 268, 665, 240, 722, 805?
Answer: LCM of 268, 665, 240, 722, 805 is 934585680.
2. How to calculate the LCM of 268, 665, 240, 722, 805?
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 268, 665, 240, 722, 805.
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}.