Find the LCM of 464, 377, 831, 351 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 464, 377, 831, 351. So, keep reading to learn more.
Given numbers are 464,377,831,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,377,831,351 is 45113328.
Find LCM of 464,377,831,351 with Prime Factorization
3 | 464, 377, 831, 351 |
13 | 464, 377, 277, 117 |
29 | 464, 29, 277, 9 |
16, 1, 277, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 29 x 16 x 1 x 277 x 9 = 45113328
Therefore, the lowest common multiple of 464,377,831,351 is 45113328.
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.
464 x 377 x 831 x 351 = 51023173968
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
377 : 1, 13, 29, 377
831 : 1, 3, 277, 831
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,377,831,351, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
377:13x 29
831:3x 277
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 29 = 1131
Therefore, the value for common factors is 1131.
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 = 51023173968/(1x1131)
LCM = 51023173968/1131
LCM = 45113328
Thus, we can understand that the LCM of 464,377,831,351 is 45113328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 464, 377, 831, 351?
Answer: LCM of 464, 377, 831, 351 is 45113328.
2. How to calculate the LCM of 464, 377, 831, 351?
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 464, 377, 831, 351.
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}.