Find the LCM of 439, 949, 645, 807, 140 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 439, 949, 645, 807, 140. So, keep reading to learn more.
Given numbers are 439,949,645,807,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,949,645,807,140 is 2023954563540.
Find LCM of 439,949,645,807,140 with Prime Factorization
3 | 439, 949, 645, 807, 140 |
5 | 439, 949, 215, 269, 140 |
439, 949, 43, 269, 28 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 439 x 949 x 43 x 269 x 28 = 2023954563540
Therefore, the lowest common multiple of 439,949,645,807,140 is 2023954563540.
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.
439 x 949 x 645 x 807 x 140 = 30359318453100
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.
439 : 1, 439
949 : 1, 13, 73, 949
645 : 1, 3, 5, 15, 43, 129, 215, 645
807 : 1, 3, 269, 807
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,949,645,807,140, is 1.
Now, the common factors can be found like this.
439:439
949:13x 73
645:3x 5x 43
807:3x 269
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 30359318453100/(1x15)
LCM = 30359318453100/15
LCM = 2023954563540
Thus, we can understand that the LCM of 439,949,645,807,140 is 2023954563540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 439, 949, 645, 807, 140?
Answer: LCM of 439, 949, 645, 807, 140 is 2023954563540.
2. How to calculate the LCM of 439, 949, 645, 807, 140?
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 439, 949, 645, 807, 140.
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}.