Find the LCM of 319, 390, 689, 195, 305 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 319, 390, 689, 195, 305. So, keep reading to learn more.
Given numbers are 319,390,689,195,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,390,689,195,305 is 402217530.
Find LCM of 319,390,689,195,305 with Prime Factorization
3 | 319, 390, 689, 195, 305 |
5 | 319, 130, 689, 65, 305 |
13 | 319, 26, 689, 13, 61 |
319, 2, 53, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 319 x 2 x 53 x 1 x 61 = 402217530
Therefore, the lowest common multiple of 319,390,689,195,305 is 402217530.
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.
319 x 390 x 689 x 195 x 305 = 5098107192750
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.
319 : 1, 11, 29, 319
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
689 : 1, 13, 53, 689
195 : 1, 3, 5, 13, 15, 39, 65, 195
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,390,689,195,305, is 1.
Now, the common factors can be found like this.
319:11x 29
390:2x 3x 5x 13
689:13x 53
195:3x 5x 13
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 13x 13 = 12675
Therefore, the value for common factors is 12675.
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 = 5098107192750/(1x12675)
LCM = 5098107192750/12675
LCM = 402217530
Thus, we can understand that the LCM of 319,390,689,195,305 is 402217530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 390, 689, 195, 305?
Answer: LCM of 319, 390, 689, 195, 305 is 402217530.
2. How to calculate the LCM of 319, 390, 689, 195, 305?
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 319, 390, 689, 195, 305.
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}.