Find the LCM of 150, 824, 282, 724, 408 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 150, 824, 282, 724, 408. So, keep reading to learn more.
Given numbers are 150,824,282,724,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,824,282,724,408 is 8937454200.
Find LCM of 150,824,282,724,408 with Prime Factorization
2 | 150, 824, 282, 724, 408 |
2 | 75, 412, 141, 362, 204 |
2 | 75, 206, 141, 181, 102 |
3 | 75, 103, 141, 181, 51 |
25, 103, 47, 181, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 25 x 103 x 47 x 181 x 17 = 8937454200
Therefore, the lowest common multiple of 150,824,282,724,408 is 8937454200.
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.
150 x 824 x 282 x 724 x 408 = 10295947238400
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
824 : 1, 2, 4, 8, 103, 206, 412, 824
282 : 1, 2, 3, 6, 47, 94, 141, 282
724 : 1, 2, 4, 181, 362, 724
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,824,282,724,408, is 2.
Now, the common factors can be found like this.
150:2x 3x 5x 5
824:2x 2x 2x 103
282:2x 3x 47
724:2x 2x 181
408:2x 2x 2x 3x 17
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 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 10295947238400/(2x576)
LCM = 10295947238400/1152
LCM = 8937454200
Thus, we can understand that the LCM of 150,824,282,724,408 is 8937454200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 150, 824, 282, 724, 408?
Answer: LCM of 150, 824, 282, 724, 408 is 8937454200.
2. How to calculate the LCM of 150, 824, 282, 724, 408?
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 150, 824, 282, 724, 408.
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}.