Find the LCM of 799, 476, 646, 748, 422 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 799, 476, 646, 748, 422. So, keep reading to learn more.
Given numbers are 799,476,646,748,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,476,646,748,422 is 986582828.
Find LCM of 799,476,646,748,422 with Prime Factorization
2 | 799, 476, 646, 748, 422 |
2 | 799, 238, 323, 374, 211 |
17 | 799, 119, 323, 187, 211 |
47, 7, 19, 11, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 47 x 7 x 19 x 11 x 211 = 986582828
Therefore, the lowest common multiple of 799,476,646,748,422 is 986582828.
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.
799 x 476 x 646 x 748 x 422 = 77553302943424
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.
799 : 1, 17, 47, 799
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
646 : 1, 2, 17, 19, 34, 38, 323, 646
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,476,646,748,422, is 1.
Now, the common factors can be found like this.
799:17x 47
476:2x 2x 7x 17
646:2x 17x 19
748:2x 2x 11x 17
422:2x 211
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 17x 17x 17 = 78608
Therefore, the value for common factors is 78608.
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 = 77553302943424/(1x78608)
LCM = 77553302943424/78608
LCM = 986582828
Thus, we can understand that the LCM of 799,476,646,748,422 is 986582828.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 476, 646, 748, 422?
Answer: LCM of 799, 476, 646, 748, 422 is 986582828.
2. How to calculate the LCM of 799, 476, 646, 748, 422?
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 799, 476, 646, 748, 422.
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}.