LCM of 462, 209, 390, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 209, 390, 338 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 462, 209, 390, 338. So, keep reading to learn more.
Given numbers are 462,209,390,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,209,390,338 is 7417410.
Find LCM of 462,209,390,338 with Prime Factorization
| 2 | 462, 209, 390, 338 |
| 3 | 231, 209, 195, 169 |
| 11 | 77, 209, 65, 169 |
| 13 | 7, 19, 65, 169 |
| 7, 19, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 7 x 19 x 5 x 13 = 7417410
Therefore, the lowest common multiple of 462,209,390,338 is 7417410.
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.
462 x 209 x 390 x 338 = 12728275560
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
209 : 1, 11, 19, 209
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,209,390,338, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
209:11x 19
390:2x 3x 5x 13
338:2x 13x 13
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 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 12728275560/(1x1716)
LCM = 12728275560/1716
LCM = 7417410
Thus, we can understand that the LCM of 462,209,390,338 is 7417410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 209, 390, 338
1. What is the LCM of 462, 209, 390, 338?
Answer: LCM of 462, 209, 390, 338 is 7417410.
2. How to calculate the LCM of 462, 209, 390, 338?
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 462, 209, 390, 338.
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}.