LCM of 420, 588, 914, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 588, 914, 404 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 420, 588, 914, 404. So, keep reading to learn more.
Given numbers are 420,588,914,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,588,914,404 is 135701580.
Find LCM of 420,588,914,404 with Prime Factorization
| 2 | 420, 588, 914, 404 |
| 2 | 210, 294, 457, 202 |
| 3 | 105, 147, 457, 101 |
| 7 | 35, 49, 457, 101 |
| 5, 7, 457, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 5 x 7 x 457 x 101 = 135701580
Therefore, the lowest common multiple of 420,588,914,404 is 135701580.
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.
420 x 588 x 914 x 404 = 91191461760
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
914 : 1, 2, 457, 914
404 : 1, 2, 4, 101, 202, 404
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,588,914,404, is 2.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
588:2x 2x 3x 7x 7
914:2x 457
404:2x 2x 101
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 2x 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 91191461760/(2x336)
LCM = 91191461760/672
LCM = 135701580
Thus, we can understand that the LCM of 420,588,914,404 is 135701580.
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FAQs on LCM of 420, 588, 914, 404
1. What is the LCM of 420, 588, 914, 404?
Answer: LCM of 420, 588, 914, 404 is 135701580.
2. How to calculate the LCM of 420, 588, 914, 404?
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 420, 588, 914, 404.
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}.