LCM of 418, 289, 578, 173
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 289, 578, 173 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 418, 289, 578, 173. So, keep reading to learn more.
Given numbers are 418,289,578,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,289,578,173 is 20898746.
Find LCM of 418,289,578,173 with Prime Factorization
| 2 | 418, 289, 578, 173 |
| 17 | 209, 289, 289, 173 |
| 17 | 209, 17, 17, 173 |
| 209, 1, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 209 x 1 x 1 x 173 = 20898746
Therefore, the lowest common multiple of 418,289,578,173 is 20898746.
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.
418 x 289 x 578 x 173 = 12079475188
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
289 : 1, 17, 289
578 : 1, 2, 17, 34, 289, 578
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,289,578,173, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
289:17x 17
578:2x 17x 17
173:173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 12079475188/(1x578)
LCM = 12079475188/578
LCM = 20898746
Thus, we can understand that the LCM of 418,289,578,173 is 20898746.
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FAQs on LCM of 418, 289, 578, 173
1. What is the LCM of 418, 289, 578, 173?
Answer: LCM of 418, 289, 578, 173 is 20898746.
2. How to calculate the LCM of 418, 289, 578, 173?
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 418, 289, 578, 173.
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}.