LCM of 949, 904, 209, 144, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 904, 209, 144, 451 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 949, 904, 209, 144, 451. So, keep reading to learn more.
Given numbers are 949,904,209,144,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,904,209,144,451 is 132323594832.
Find LCM of 949,904,209,144,451 with Prime Factorization
| 2 | 949, 904, 209, 144, 451 |
| 2 | 949, 452, 209, 72, 451 |
| 2 | 949, 226, 209, 36, 451 |
| 11 | 949, 113, 209, 18, 451 |
| 949, 113, 19, 18, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 949 x 113 x 19 x 18 x 41 = 132323594832
Therefore, the lowest common multiple of 949,904,209,144,451 is 132323594832.
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.
949 x 904 x 209 x 144 x 451 = 11644476345216
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.
949 : 1, 13, 73, 949
904 : 1, 2, 4, 8, 113, 226, 452, 904
209 : 1, 11, 19, 209
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,904,209,144,451, is 1.
Now, the common factors can be found like this.
949:13x 73
904:2x 2x 2x 113
209:11x 19
144:2x 2x 2x 2x 3x 3
451:11x 41
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 11 = 88
Therefore, the value for common factors is 88.
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 = 11644476345216/(1x88)
LCM = 11644476345216/88
LCM = 132323594832
Thus, we can understand that the LCM of 949,904,209,144,451 is 132323594832.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 949, 904, 209, 144, 451
1. What is the LCM of 949, 904, 209, 144, 451?
Answer: LCM of 949, 904, 209, 144, 451 is 132323594832.
2. How to calculate the LCM of 949, 904, 209, 144, 451?
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 949, 904, 209, 144, 451.
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}.