LCM of 404, 690, 680, 598, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 690, 680, 598, 214 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 404, 690, 680, 598, 214. So, keep reading to learn more.
Given numbers are 404,690,680,598,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,690,680,598,214 is 6591837720.
Find LCM of 404,690,680,598,214 with Prime Factorization
| 2 | 404, 690, 680, 598, 214 |
| 2 | 202, 345, 340, 299, 107 |
| 5 | 101, 345, 170, 299, 107 |
| 23 | 101, 69, 34, 299, 107 |
| 101, 3, 34, 13, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 101 x 3 x 34 x 13 x 107 = 6591837720
Therefore, the lowest common multiple of 404,690,680,598,214 is 6591837720.
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.
404 x 690 x 680 x 598 x 214 = 24257962809600
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.
404 : 1, 2, 4, 101, 202, 404
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
598 : 1, 2, 13, 23, 26, 46, 299, 598
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,690,680,598,214, is 2.
Now, the common factors can be found like this.
404:2x 2x 101
690:2x 3x 5x 23
680:2x 2x 2x 5x 17
598:2x 13x 23
214:2x 107
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 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 24257962809600/(2x1840)
LCM = 24257962809600/3680
LCM = 6591837720
Thus, we can understand that the LCM of 404,690,680,598,214 is 6591837720.
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FAQs on LCM of 404, 690, 680, 598, 214
1. What is the LCM of 404, 690, 680, 598, 214?
Answer: LCM of 404, 690, 680, 598, 214 is 6591837720.
2. How to calculate the LCM of 404, 690, 680, 598, 214?
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 404, 690, 680, 598, 214.
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}.