Find the LCM of 642, 206, 506, 308, 492 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 642, 206, 506, 308, 492. So, keep reading to learn more.
Given numbers are 642,206,506,308,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,206,506,308,492 is 9602949972.
Find LCM of 642,206,506,308,492 with Prime Factorization
2 | 642, 206, 506, 308, 492 |
2 | 321, 103, 253, 154, 246 |
3 | 321, 103, 253, 77, 123 |
11 | 107, 103, 253, 77, 41 |
107, 103, 23, 7, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 107 x 103 x 23 x 7 x 41 = 9602949972
Therefore, the lowest common multiple of 642,206,506,308,492 is 9602949972.
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.
642 x 206 x 506 x 308 x 492 = 10140715170432
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
206 : 1, 2, 103, 206
506 : 1, 2, 11, 22, 23, 46, 253, 506
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,206,506,308,492, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
206:2x 103
506:2x 11x 23
308:2x 2x 7x 11
492:2x 2x 3x 41
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 11 = 528
Therefore, the value for common factors is 528.
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 = 10140715170432/(2x528)
LCM = 10140715170432/1056
LCM = 9602949972
Thus, we can understand that the LCM of 642,206,506,308,492 is 9602949972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 206, 506, 308, 492?
Answer: LCM of 642, 206, 506, 308, 492 is 9602949972.
2. How to calculate the LCM of 642, 206, 506, 308, 492?
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 642, 206, 506, 308, 492.
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}.