Find the LCM of 286, 189, 238, 391, 417 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 286, 189, 238, 391, 417. So, keep reading to learn more.
Given numbers are 286,189,238,391,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,189,238,391,417 is 2937780846.
Find LCM of 286,189,238,391,417 with Prime Factorization
2 | 286, 189, 238, 391, 417 |
3 | 143, 189, 119, 391, 417 |
7 | 143, 63, 119, 391, 139 |
17 | 143, 9, 17, 391, 139 |
143, 9, 1, 23, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 143 x 9 x 1 x 23 x 139 = 2937780846
Therefore, the lowest common multiple of 286,189,238,391,417 is 2937780846.
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.
286 x 189 x 238 x 391 x 417 = 2097575524044
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
189 : 1, 3, 7, 9, 21, 27, 63, 189
238 : 1, 2, 7, 14, 17, 34, 119, 238
391 : 1, 17, 23, 391
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,189,238,391,417, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
189:3x 3x 3x 7
238:2x 7x 17
391:17x 23
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17 = 714
Therefore, the value for common factors is 714.
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 = 2097575524044/(1x714)
LCM = 2097575524044/714
LCM = 2937780846
Thus, we can understand that the LCM of 286,189,238,391,417 is 2937780846.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 286, 189, 238, 391, 417?
Answer: LCM of 286, 189, 238, 391, 417 is 2937780846.
2. How to calculate the LCM of 286, 189, 238, 391, 417?
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 286, 189, 238, 391, 417.
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}.