Find the LCM of 426, 862, 808, 505, 561 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 426, 862, 808, 505, 561. So, keep reading to learn more.
Given numbers are 426,862,808,505,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,862,808,505,561 is 69355330440.
Find LCM of 426,862,808,505,561 with Prime Factorization
2 | 426, 862, 808, 505, 561 |
3 | 213, 431, 404, 505, 561 |
101 | 71, 431, 404, 505, 187 |
71, 431, 4, 5, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 71 x 431 x 4 x 5 x 187 = 69355330440
Therefore, the lowest common multiple of 426,862,808,505,561 is 69355330440.
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.
426 x 862 x 808 x 505 x 561 = 84058660493280
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
862 : 1, 2, 431, 862
808 : 1, 2, 4, 8, 101, 202, 404, 808
505 : 1, 5, 101, 505
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,862,808,505,561, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
862:2x 431
808:2x 2x 2x 101
505:5x 101
561:3x 11x 17
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 3x 101 = 1212
Therefore, the value for common factors is 1212.
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 = 84058660493280/(1x1212)
LCM = 84058660493280/1212
LCM = 69355330440
Thus, we can understand that the LCM of 426,862,808,505,561 is 69355330440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 426, 862, 808, 505, 561?
Answer: LCM of 426, 862, 808, 505, 561 is 69355330440.
2. How to calculate the LCM of 426, 862, 808, 505, 561?
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 426, 862, 808, 505, 561.
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}.