Find the LCM of 335, 807, 469, 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 335, 807, 469, 316. So, keep reading to learn more.
Given numbers are 335,807,469,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,807,469,316 is 598003140.
Find LCM of 335,807,469,316 with Prime Factorization
67 | 335, 807, 469, 316 |
5, 807, 7, 316 |
Multiply the prime numbers at the bottom and the left side.
67 x 5 x 807 x 7 x 316 = 598003140
Therefore, the lowest common multiple of 335,807,469,316 is 598003140.
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.
335 x 807 x 469 x 316 = 40066210380
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.
335 : 1, 5, 67, 335
807 : 1, 3, 269, 807
469 : 1, 7, 67, 469
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 335,807,469,316, is 1.
Now, the common factors can be found like this.
335:5x 67
807:3x 269
469:7x 67
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.
67 = 67
Therefore, the value for common factors is 67.
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 = 40066210380/(1x67)
LCM = 40066210380/67
LCM = 598003140
Thus, we can understand that the LCM of 335,807,469,316 is 598003140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 335, 807, 469, 316?
Answer: LCM of 335, 807, 469, 316 is 598003140.
2. How to calculate the LCM of 335, 807, 469, 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 335, 807, 469, 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}.