Find the LCM of 450, 499, 535, 342, 906 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, 499, 535, 342, 906. So, keep reading to learn more.
Given numbers are 450,499,535,342,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,499,535,342,906 is 68933032650.
Find LCM of 450,499,535,342,906 with Prime Factorization
2 | 450, 499, 535, 342, 906 |
3 | 225, 499, 535, 171, 453 |
3 | 75, 499, 535, 57, 151 |
5 | 25, 499, 535, 19, 151 |
5, 499, 107, 19, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 499 x 107 x 19 x 151 = 68933032650
Therefore, the lowest common multiple of 450,499,535,342,906 is 68933032650.
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 499 x 535 x 342 x 906 = 37223837631000
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
499 : 1, 499
535 : 1, 5, 107, 535
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,499,535,342,906, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
499:499
535:5x 107
342:2x 3x 3x 19
906:2x 3x 151
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 37223837631000/(1x540)
LCM = 37223837631000/540
LCM = 68933032650
Thus, we can understand that the LCM of 450,499,535,342,906 is 68933032650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 450, 499, 535, 342, 906?
Answer: LCM of 450, 499, 535, 342, 906 is 68933032650.
2. How to calculate the LCM of 450, 499, 535, 342, 906?
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, 499, 535, 342, 906.
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}.