LCM of 301, 557, 434, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 301, 557, 434, 403 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 301, 557, 434, 403. So, keep reading to learn more.
Given numbers are 301,557,434,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,557,434,403 is 135131542.
Find LCM of 301,557,434,403 with Prime Factorization
| 7 | 301, 557, 434, 403 |
| 31 | 43, 557, 62, 403 |
| 43, 557, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
7 x 31 x 43 x 557 x 2 x 13 = 135131542
Therefore, the lowest common multiple of 301,557,434,403 is 135131542.
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.
301 x 557 x 434 x 403 = 29323544614
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.
301 : 1, 7, 43, 301
557 : 1, 557
434 : 1, 2, 7, 14, 31, 62, 217, 434
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,557,434,403, is 1.
Now, the common factors can be found like this.
301:7x 43
557:557
434:2x 7x 31
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 31 = 217
Therefore, the value for common factors is 217.
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 = 29323544614/(1x217)
LCM = 29323544614/217
LCM = 135131542
Thus, we can understand that the LCM of 301,557,434,403 is 135131542.
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FAQs on LCM of 301, 557, 434, 403
1. What is the LCM of 301, 557, 434, 403?
Answer: LCM of 301, 557, 434, 403 is 135131542.
2. How to calculate the LCM of 301, 557, 434, 403?
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 301, 557, 434, 403.
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}.