Find the LCM of 192, 533, 104, 767 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, 533, 104, 767. So, keep reading to learn more.
Given numbers are 192,533,104,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,533,104,767 is 6037824.
Find LCM of 192,533,104,767 with Prime Factorization
2 | 192, 533, 104, 767 |
2 | 96, 533, 52, 767 |
2 | 48, 533, 26, 767 |
13 | 24, 533, 13, 767 |
24, 41, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 24 x 41 x 1 x 59 = 6037824
Therefore, the lowest common multiple of 192,533,104,767 is 6037824.
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 533 x 104 x 767 = 8163138048
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
533 : 1, 13, 41, 533
104 : 1, 2, 4, 8, 13, 26, 52, 104
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,533,104,767, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
533:13x 41
104:2x 2x 2x 13
767:13x 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 2x 2x 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 8163138048/(1x1352)
LCM = 8163138048/1352
LCM = 6037824
Thus, we can understand that the LCM of 192,533,104,767 is 6037824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 192, 533, 104, 767?
Answer: LCM of 192, 533, 104, 767 is 6037824.
2. How to calculate the LCM of 192, 533, 104, 767?
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, 533, 104, 767.
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}.