Find the LCM of 450, 741, 699, 212, 531 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 450, 741, 699, 212, 531. So, keep reading to learn more.
Given numbers are 450,741,699,212,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,741,699,212,531 is 161965779300.
Find LCM of 450,741,699,212,531 with Prime Factorization
2 | 450, 741, 699, 212, 531 |
3 | 225, 741, 699, 106, 531 |
3 | 75, 247, 233, 106, 177 |
25, 247, 233, 106, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 25 x 247 x 233 x 106 x 59 = 161965779300
Therefore, the lowest common multiple of 450,741,699,212,531 is 161965779300.
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.
450 x 741 x 699 x 212 x 531 = 26238456246600
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
741 : 1, 3, 13, 19, 39, 57, 247, 741
699 : 1, 3, 233, 699
212 : 1, 2, 4, 53, 106, 212
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,741,699,212,531, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
741:3x 13x 19
699:3x 233
212:2x 2x 53
531:3x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 26238456246600/(1x162)
LCM = 26238456246600/162
LCM = 161965779300
Thus, we can understand that the LCM of 450,741,699,212,531 is 161965779300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 450, 741, 699, 212, 531?
Answer: LCM of 450, 741, 699, 212, 531 is 161965779300.
2. How to calculate the LCM of 450, 741, 699, 212, 531?
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 450, 741, 699, 212, 531.
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}.