Find the LCM of 351, 594, 407, 909, 851 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 351, 594, 407, 909, 851. So, keep reading to learn more.
Given numbers are 351,594,407,909,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,594,407,909,851 is 663713622.
Find LCM of 351,594,407,909,851 with Prime Factorization
3 | 351, 594, 407, 909, 851 |
3 | 117, 198, 407, 303, 851 |
3 | 39, 66, 407, 101, 851 |
11 | 13, 22, 407, 101, 851 |
37 | 13, 2, 37, 101, 851 |
13, 2, 1, 101, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 37 x 13 x 2 x 1 x 101 x 23 = 663713622
Therefore, the lowest common multiple of 351,594,407,909,851 is 663713622.
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.
351 x 594 x 407 x 909 x 851 = 65641940929422
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
407 : 1, 11, 37, 407
909 : 1, 3, 9, 101, 303, 909
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,594,407,909,851, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
594:2x 3x 3x 3x 11
407:11x 37
909:3x 3x 101
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 11x 37 = 98901
Therefore, the value for common factors is 98901.
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 = 65641940929422/(1x98901)
LCM = 65641940929422/98901
LCM = 663713622
Thus, we can understand that the LCM of 351,594,407,909,851 is 663713622.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 351, 594, 407, 909, 851?
Answer: LCM of 351, 594, 407, 909, 851 is 663713622.
2. How to calculate the LCM of 351, 594, 407, 909, 851?
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 351, 594, 407, 909, 851.
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}.