Find the LCM of 847, 408, 458, 712 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 847, 408, 458, 712. So, keep reading to learn more.
Given numbers are 847,408,458,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,408,458,712 is 7043184456.
Find LCM of 847,408,458,712 with Prime Factorization
2 | 847, 408, 458, 712 |
2 | 847, 204, 229, 356 |
2 | 847, 102, 229, 178 |
847, 51, 229, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 847 x 51 x 229 x 89 = 7043184456
Therefore, the lowest common multiple of 847,408,458,712 is 7043184456.
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.
847 x 408 x 458 x 712 = 112690951296
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.
847 : 1, 7, 11, 77, 121, 847
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
458 : 1, 2, 229, 458
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,408,458,712, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
408:2x 2x 2x 3x 17
458:2x 229
712:2x 2x 2x 89
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 2 = 16
Therefore, the value for common factors is 16.
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 = 112690951296/(1x16)
LCM = 112690951296/16
LCM = 7043184456
Thus, we can understand that the LCM of 847,408,458,712 is 7043184456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 847, 408, 458, 712?
Answer: LCM of 847, 408, 458, 712 is 7043184456.
2. How to calculate the LCM of 847, 408, 458, 712?
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 847, 408, 458, 712.
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}.