LCM of 578, 301, 289, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 301, 289, 407 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 578, 301, 289, 407. So, keep reading to learn more.
Given numbers are 578,301,289,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,301,289,407 is 70809046.
Find LCM of 578,301,289,407 with Prime Factorization
| 17 | 578, 301, 289, 407 |
| 17 | 34, 301, 17, 407 |
| 2, 301, 1, 407 |
Multiply the prime numbers at the bottom and the left side.
17 x 17 x 2 x 301 x 1 x 407 = 70809046
Therefore, the lowest common multiple of 578,301,289,407 is 70809046.
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.
578 x 301 x 289 x 407 = 20463814294
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.
578 : 1, 2, 17, 34, 289, 578
301 : 1, 7, 43, 301
289 : 1, 17, 289
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,301,289,407, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
301:7x 43
289:17x 17
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 20463814294/(1x289)
LCM = 20463814294/289
LCM = 70809046
Thus, we can understand that the LCM of 578,301,289,407 is 70809046.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 301, 289, 407
1. What is the LCM of 578, 301, 289, 407?
Answer: LCM of 578, 301, 289, 407 is 70809046.
2. How to calculate the LCM of 578, 301, 289, 407?
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 578, 301, 289, 407.
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}.