Find the LCM of 312, 847, 319, 464 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 312, 847, 319, 464. So, keep reading to learn more.
Given numbers are 312,847,319,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,847,319,464 is 15327312.
Find LCM of 312,847,319,464 with Prime Factorization
2 | 312, 847, 319, 464 |
2 | 156, 847, 319, 232 |
2 | 78, 847, 319, 116 |
11 | 39, 847, 319, 58 |
29 | 39, 77, 29, 58 |
39, 77, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 29 x 39 x 77 x 1 x 2 = 15327312
Therefore, the lowest common multiple of 312,847,319,464 is 15327312.
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.
312 x 847 x 319 x 464 = 39115300224
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
847 : 1, 7, 11, 77, 121, 847
319 : 1, 11, 29, 319
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,847,319,464, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
847:7x 11x 11
319:11x 29
464:2x 2x 2x 2x 29
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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 39115300224/(1x2552)
LCM = 39115300224/2552
LCM = 15327312
Thus, we can understand that the LCM of 312,847,319,464 is 15327312.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 847, 319, 464?
Answer: LCM of 312, 847, 319, 464 is 15327312.
2. How to calculate the LCM of 312, 847, 319, 464?
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 312, 847, 319, 464.
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}.