LCM of 598, 426, 793, 429, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 426, 793, 429, 994 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 598, 426, 793, 429, 994. So, keep reading to learn more.
Given numbers are 598,426,793,429,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,426,793,429,994 is 598275678.
Find LCM of 598,426,793,429,994 with Prime Factorization
| 2 | 598, 426, 793, 429, 994 |
| 3 | 299, 213, 793, 429, 497 |
| 13 | 299, 71, 793, 143, 497 |
| 71 | 23, 71, 61, 11, 497 |
| 23, 1, 61, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 71 x 23 x 1 x 61 x 11 x 7 = 598275678
Therefore, the lowest common multiple of 598,426,793,429,994 is 598275678.
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.
598 x 426 x 793 x 429 x 994 = 86144518323864
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
426 : 1, 2, 3, 6, 71, 142, 213, 426
793 : 1, 13, 61, 793
429 : 1, 3, 11, 13, 33, 39, 143, 429
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,426,793,429,994, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
426:2x 3x 71
793:13x 61
429:3x 11x 13
994:2x 7x 71
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 13x 13x 71 = 143988
Therefore, the value for common factors is 143988.
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 = 86144518323864/(1x143988)
LCM = 86144518323864/143988
LCM = 598275678
Thus, we can understand that the LCM of 598,426,793,429,994 is 598275678.
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FAQs on LCM of 598, 426, 793, 429, 994
1. What is the LCM of 598, 426, 793, 429, 994?
Answer: LCM of 598, 426, 793, 429, 994 is 598275678.
2. How to calculate the LCM of 598, 426, 793, 429, 994?
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 598, 426, 793, 429, 994.
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}.