Find the LCM of 407, 847, 731, 316 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 407, 847, 731, 316. So, keep reading to learn more.
Given numbers are 407,847,731,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,847,731,316 is 7239183644.
Find LCM of 407,847,731,316 with Prime Factorization
11 | 407, 847, 731, 316 |
37, 77, 731, 316 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 77 x 731 x 316 = 7239183644
Therefore, the lowest common multiple of 407,847,731,316 is 7239183644.
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.
407 x 847 x 731 x 316 = 79631020084
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.
407 : 1, 11, 37, 407
847 : 1, 7, 11, 77, 121, 847
731 : 1, 17, 43, 731
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,847,731,316, is 1.
Now, the common factors can be found like this.
407:11x 37
847:7x 11x 11
731:17x 43
316:2x 2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 79631020084/(1x11)
LCM = 79631020084/11
LCM = 7239183644
Thus, we can understand that the LCM of 407,847,731,316 is 7239183644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 847, 731, 316?
Answer: LCM of 407, 847, 731, 316 is 7239183644.
2. How to calculate the LCM of 407, 847, 731, 316?
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 407, 847, 731, 316.
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}.