Find the LCM of 192, 990, 790, 749, 652 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 192, 990, 790, 749, 652. So, keep reading to learn more.
Given numbers are 192,990,790,749,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,990,790,749,652 is 305549576640.
Find LCM of 192,990,790,749,652 with Prime Factorization
2 | 192, 990, 790, 749, 652 |
2 | 96, 495, 395, 749, 326 |
3 | 48, 495, 395, 749, 163 |
5 | 16, 165, 395, 749, 163 |
16, 33, 79, 749, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 16 x 33 x 79 x 749 x 163 = 305549576640
Therefore, the lowest common multiple of 192,990,790,749,652 is 305549576640.
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.
192 x 990 x 790 x 749 x 652 = 73331898393600
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
790 : 1, 2, 5, 10, 79, 158, 395, 790
749 : 1, 7, 107, 749
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,990,790,749,652, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
990:2x 3x 3x 5x 11
790:2x 5x 79
749:7x 107
652:2x 2x 163
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 73331898393600/(1x240)
LCM = 73331898393600/240
LCM = 305549576640
Thus, we can understand that the LCM of 192,990,790,749,652 is 305549576640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 192, 990, 790, 749, 652?
Answer: LCM of 192, 990, 790, 749, 652 is 305549576640.
2. How to calculate the LCM of 192, 990, 790, 749, 652?
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 192, 990, 790, 749, 652.
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}.