Find the LCM of 194, 578, 162, 510, 243 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 194, 578, 162, 510, 243. So, keep reading to learn more.
Given numbers are 194,578,162,510,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,578,162,510,243 is 68120190.
Find LCM of 194,578,162,510,243 with Prime Factorization
2 | 194, 578, 162, 510, 243 |
3 | 97, 289, 81, 255, 243 |
3 | 97, 289, 27, 85, 81 |
3 | 97, 289, 9, 85, 27 |
3 | 97, 289, 3, 85, 9 |
17 | 97, 289, 1, 85, 3 |
97, 17, 1, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 17 x 97 x 17 x 1 x 5 x 3 = 68120190
Therefore, the lowest common multiple of 194,578,162,510,243 is 68120190.
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.
194 x 578 x 162 x 510 x 243 = 2251236039120
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.
194 : 1, 2, 97, 194
578 : 1, 2, 17, 34, 289, 578
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,578,162,510,243, is 1.
Now, the common factors can be found like this.
194:2x 97
578:2x 17x 17
162:2x 3x 3x 3x 3
510:2x 3x 5x 17
243:3x 3x 3x 3x 3
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 3x 3x 3x 3x 17 = 33048
Therefore, the value for common factors is 33048.
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 = 2251236039120/(1x33048)
LCM = 2251236039120/33048
LCM = 68120190
Thus, we can understand that the LCM of 194,578,162,510,243 is 68120190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 194, 578, 162, 510, 243?
Answer: LCM of 194, 578, 162, 510, 243 is 68120190.
2. How to calculate the LCM of 194, 578, 162, 510, 243?
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 194, 578, 162, 510, 243.
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}.