Find the LCM of 764, 471, 192, 108, 642 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 764, 471, 192, 108, 642. So, keep reading to learn more.
Given numbers are 764,471,192,108,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,471,192,108,642 is 5544476352.
Find LCM of 764,471,192,108,642 with Prime Factorization
2 | 764, 471, 192, 108, 642 |
2 | 382, 471, 96, 54, 321 |
3 | 191, 471, 48, 27, 321 |
191, 157, 16, 9, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 191 x 157 x 16 x 9 x 107 = 5544476352
Therefore, the lowest common multiple of 764,471,192,108,642 is 5544476352.
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.
764 x 471 x 192 x 108 x 642 = 4790427568128
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.
764 : 1, 2, 4, 191, 382, 764
471 : 1, 3, 157, 471
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,471,192,108,642, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
471:3x 157
192:2x 2x 2x 2x 2x 2x 3
108:2x 2x 3x 3x 3
642:2x 3x 107
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 4790427568128/(1x864)
LCM = 4790427568128/864
LCM = 5544476352
Thus, we can understand that the LCM of 764,471,192,108,642 is 5544476352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 471, 192, 108, 642?
Answer: LCM of 764, 471, 192, 108, 642 is 5544476352.
2. How to calculate the LCM of 764, 471, 192, 108, 642?
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 764, 471, 192, 108, 642.
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}.