LCM of 654, 975, 400, 449, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 975, 400, 449, 300 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 654, 975, 400, 449, 300. So, keep reading to learn more.
Given numbers are 654,975,400,449,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,975,400,449,300 is 763479600.
Find LCM of 654,975,400,449,300 with Prime Factorization
| 2 | 654, 975, 400, 449, 300 |
| 2 | 327, 975, 200, 449, 150 |
| 3 | 327, 975, 100, 449, 75 |
| 5 | 109, 325, 100, 449, 25 |
| 5 | 109, 65, 20, 449, 5 |
| 109, 13, 4, 449, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 109 x 13 x 4 x 449 x 1 = 763479600
Therefore, the lowest common multiple of 654,975,400,449,300 is 763479600.
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.
654 x 975 x 400 x 449 x 300 = 34356582000000
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
449 : 1, 449
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,975,400,449,300, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
975:3x 5x 5x 13
400:2x 2x 2x 2x 5x 5
449:449
300:2x 2x 3x 5x 5
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 3x 3x 5x 5x 5x 5 = 45000
Therefore, the value for common factors is 45000.
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 = 34356582000000/(1x45000)
LCM = 34356582000000/45000
LCM = 763479600
Thus, we can understand that the LCM of 654,975,400,449,300 is 763479600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 654, 975, 400, 449, 300
1. What is the LCM of 654, 975, 400, 449, 300?
Answer: LCM of 654, 975, 400, 449, 300 is 763479600.
2. How to calculate the LCM of 654, 975, 400, 449, 300?
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 654, 975, 400, 449, 300.
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}.