Find the LCM of 405, 901, 748, 765, 475 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 405, 901, 748, 765, 475. So, keep reading to learn more.
Given numbers are 405,901,748,765,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,901,748,765,475 is 1525302900.
Find LCM of 405,901,748,765,475 with Prime Factorization
3 | 405, 901, 748, 765, 475 |
3 | 135, 901, 748, 255, 475 |
5 | 45, 901, 748, 85, 475 |
17 | 9, 901, 748, 17, 95 |
9, 53, 44, 1, 95 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 9 x 53 x 44 x 1 x 95 = 1525302900
Therefore, the lowest common multiple of 405,901,748,765,475 is 1525302900.
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.
405 x 901 x 748 x 765 x 475 = 99182821072500
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
901 : 1, 17, 53, 901
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,901,748,765,475, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
901:17x 53
748:2x 2x 11x 17
765:3x 3x 5x 17
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 17x 17 = 65025
Therefore, the value for common factors is 65025.
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 = 99182821072500/(1x65025)
LCM = 99182821072500/65025
LCM = 1525302900
Thus, we can understand that the LCM of 405,901,748,765,475 is 1525302900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 405, 901, 748, 765, 475?
Answer: LCM of 405, 901, 748, 765, 475 is 1525302900.
2. How to calculate the LCM of 405, 901, 748, 765, 475?
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 405, 901, 748, 765, 475.
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}.