Find the LCM of 195, 478, 680, 803, 468 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 195, 478, 680, 803, 468. So, keep reading to learn more.
Given numbers are 195,478,680,803,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,478,680,803,468 is 15268916520.
Find LCM of 195,478,680,803,468 with Prime Factorization
2 | 195, 478, 680, 803, 468 |
2 | 195, 239, 340, 803, 234 |
3 | 195, 239, 170, 803, 117 |
5 | 65, 239, 170, 803, 39 |
13 | 13, 239, 34, 803, 39 |
1, 239, 34, 803, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 239 x 34 x 803 x 3 = 15268916520
Therefore, the lowest common multiple of 195,478,680,803,468 is 15268916520.
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.
195 x 478 x 680 x 803 x 468 = 23819509771200
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
478 : 1, 2, 239, 478
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
803 : 1, 11, 73, 803
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,478,680,803,468, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
478:2x 239
680:2x 2x 2x 5x 17
803:11x 73
468:2x 2x 3x 3x 13
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 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 23819509771200/(1x1560)
LCM = 23819509771200/1560
LCM = 15268916520
Thus, we can understand that the LCM of 195,478,680,803,468 is 15268916520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 195, 478, 680, 803, 468?
Answer: LCM of 195, 478, 680, 803, 468 is 15268916520.
2. How to calculate the LCM of 195, 478, 680, 803, 468?
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 195, 478, 680, 803, 468.
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}.