LCM of 422, 663, 455, 204, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 663, 455, 204, 740 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 422, 663, 455, 204, 740. So, keep reading to learn more.
Given numbers are 422,663,455,204,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,663,455,204,740 is 724645740.
Find LCM of 422,663,455,204,740 with Prime Factorization
| 2 | 422, 663, 455, 204, 740 |
| 2 | 211, 663, 455, 102, 370 |
| 3 | 211, 663, 455, 51, 185 |
| 5 | 211, 221, 455, 17, 185 |
| 13 | 211, 221, 91, 17, 37 |
| 17 | 211, 17, 7, 17, 37 |
| 211, 1, 7, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 17 x 211 x 1 x 7 x 1 x 37 = 724645740
Therefore, the lowest common multiple of 422,663,455,204,740 is 724645740.
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.
422 x 663 x 455 x 204 x 740 = 19217605024800
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.
422 : 1, 2, 211, 422
663 : 1, 3, 13, 17, 39, 51, 221, 663
455 : 1, 5, 7, 13, 35, 65, 91, 455
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,663,455,204,740, is 1.
Now, the common factors can be found like this.
422:2x 211
663:3x 13x 17
455:5x 7x 13
204:2x 2x 3x 17
740:2x 2x 5x 37
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 3x 5x 13x 17 = 26520
Therefore, the value for common factors is 26520.
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 = 19217605024800/(1x26520)
LCM = 19217605024800/26520
LCM = 724645740
Thus, we can understand that the LCM of 422,663,455,204,740 is 724645740.
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FAQs on LCM of 422, 663, 455, 204, 740
1. What is the LCM of 422, 663, 455, 204, 740?
Answer: LCM of 422, 663, 455, 204, 740 is 724645740.
2. How to calculate the LCM of 422, 663, 455, 204, 740?
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 422, 663, 455, 204, 740.
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}.