Find the LCM of 315, 756, 434, 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 315, 756, 434, 642. So, keep reading to learn more.
Given numbers are 315,756,434,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,756,434,642 is 12538260.
Find LCM of 315,756,434,642 with Prime Factorization
2 | 315, 756, 434, 642 |
3 | 315, 378, 217, 321 |
3 | 105, 126, 217, 107 |
7 | 35, 42, 217, 107 |
5, 6, 31, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 5 x 6 x 31 x 107 = 12538260
Therefore, the lowest common multiple of 315,756,434,642 is 12538260.
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.
315 x 756 x 434 x 642 = 66352471920
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
434 : 1, 2, 7, 14, 31, 62, 217, 434
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 315,756,434,642, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
756:2x 2x 3x 3x 3x 7
434:2x 7x 31
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 3x 3x 3x 7x 7 = 5292
Therefore, the value for common factors is 5292.
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 = 66352471920/(1x5292)
LCM = 66352471920/5292
LCM = 12538260
Thus, we can understand that the LCM of 315,756,434,642 is 12538260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 756, 434, 642?
Answer: LCM of 315, 756, 434, 642 is 12538260.
2. How to calculate the LCM of 315, 756, 434, 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 315, 756, 434, 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}.