Find the LCM of 390, 478, 754, 311, 326 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 390, 478, 754, 311, 326. So, keep reading to learn more.
Given numbers are 390,478,754,311,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,478,754,311,326 is 137027741370.
Find LCM of 390,478,754,311,326 with Prime Factorization
2 | 390, 478, 754, 311, 326 |
13 | 195, 239, 377, 311, 163 |
15, 239, 29, 311, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 15 x 239 x 29 x 311 x 163 = 137027741370
Therefore, the lowest common multiple of 390,478,754,311,326 is 137027741370.
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.
390 x 478 x 754 x 311 x 326 = 14250885102480
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
478 : 1, 2, 239, 478
754 : 1, 2, 13, 26, 29, 58, 377, 754
311 : 1, 311
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,478,754,311,326, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
478:2x 239
754:2x 13x 29
311:311
326:2x 163
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 13 = 104
Therefore, the value for common factors is 104.
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 = 14250885102480/(1x104)
LCM = 14250885102480/104
LCM = 137027741370
Thus, we can understand that the LCM of 390,478,754,311,326 is 137027741370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 390, 478, 754, 311, 326?
Answer: LCM of 390, 478, 754, 311, 326 is 137027741370.
2. How to calculate the LCM of 390, 478, 754, 311, 326?
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 390, 478, 754, 311, 326.
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}.