Find the LCM of 192, 588, 160, 107, 771 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, 588, 160, 107, 771. So, keep reading to learn more.
Given numbers are 192,588,160,107,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,588,160,107,771 is 1293552960.
Find LCM of 192,588,160,107,771 with Prime Factorization
2 | 192, 588, 160, 107, 771 |
2 | 96, 294, 80, 107, 771 |
2 | 48, 147, 40, 107, 771 |
2 | 24, 147, 20, 107, 771 |
2 | 12, 147, 10, 107, 771 |
3 | 6, 147, 5, 107, 771 |
2, 49, 5, 107, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 2 x 49 x 5 x 107 x 257 = 1293552960
Therefore, the lowest common multiple of 192,588,160,107,771 is 1293552960.
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 588 x 160 x 107 x 771 = 1490173009920
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
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
107 : 1, 107
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,588,160,107,771, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
588:2x 2x 3x 7x 7
160:2x 2x 2x 2x 2x 5
107:107
771:3x 257
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 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 1490173009920/(1x1152)
LCM = 1490173009920/1152
LCM = 1293552960
Thus, we can understand that the LCM of 192,588,160,107,771 is 1293552960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 192, 588, 160, 107, 771?
Answer: LCM of 192, 588, 160, 107, 771 is 1293552960.
2. How to calculate the LCM of 192, 588, 160, 107, 771?
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, 588, 160, 107, 771.
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}.