Find the LCM of 368, 517, 391, 154 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 368, 517, 391, 154. So, keep reading to learn more.
Given numbers are 368,517,391,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,517,391,154 is 22640464.
Find LCM of 368,517,391,154 with Prime Factorization
2 | 368, 517, 391, 154 |
11 | 184, 517, 391, 77 |
23 | 184, 47, 391, 7 |
8, 47, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 8 x 47 x 17 x 7 = 22640464
Therefore, the lowest common multiple of 368,517,391,154 is 22640464.
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.
368 x 517 x 391 x 154 = 11456074784
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
517 : 1, 11, 47, 517
391 : 1, 17, 23, 391
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,517,391,154, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
517:11x 47
391:17x 23
154:2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23 = 506
Therefore, the value for common factors is 506.
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 = 11456074784/(1x506)
LCM = 11456074784/506
LCM = 22640464
Thus, we can understand that the LCM of 368,517,391,154 is 22640464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 368, 517, 391, 154?
Answer: LCM of 368, 517, 391, 154 is 22640464.
2. How to calculate the LCM of 368, 517, 391, 154?
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 368, 517, 391, 154.
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}.