Find the LCM of 434, 907, 506, 195 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 434, 907, 506, 195. So, keep reading to learn more.
Given numbers are 434,907,506,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,907,506,195 is 19420130730.
Find LCM of 434,907,506,195 with Prime Factorization
2 | 434, 907, 506, 195 |
217, 907, 253, 195 |
Multiply the prime numbers at the bottom and the left side.
2 x 217 x 907 x 253 x 195 = 19420130730
Therefore, the lowest common multiple of 434,907,506,195 is 19420130730.
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.
434 x 907 x 506 x 195 = 38840261460
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
907 : 1, 907
506 : 1, 2, 11, 22, 23, 46, 253, 506
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,907,506,195, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
907:907
506:2x 11x 23
195:3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 38840261460/(1x2)
LCM = 38840261460/2
LCM = 19420130730
Thus, we can understand that the LCM of 434,907,506,195 is 19420130730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 434, 907, 506, 195?
Answer: LCM of 434, 907, 506, 195 is 19420130730.
2. How to calculate the LCM of 434, 907, 506, 195?
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 434, 907, 506, 195.
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}.