LCM of 429, 755, 469, 806, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 755, 469, 806, 640 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 429, 755, 469, 806, 640. So, keep reading to learn more.
Given numbers are 429,755,469,806,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,755,469,806,640 is 602766003840.
Find LCM of 429,755,469,806,640 with Prime Factorization
| 2 | 429, 755, 469, 806, 640 |
| 5 | 429, 755, 469, 403, 320 |
| 13 | 429, 151, 469, 403, 64 |
| 33, 151, 469, 31, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 33 x 151 x 469 x 31 x 64 = 602766003840
Therefore, the lowest common multiple of 429,755,469,806,640 is 602766003840.
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.
429 x 755 x 469 x 806 x 640 = 78359580499200
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
755 : 1, 5, 151, 755
469 : 1, 7, 67, 469
806 : 1, 2, 13, 26, 31, 62, 403, 806
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,755,469,806,640, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
755:5x 151
469:7x 67
806:2x 13x 31
640:2x 2x 2x 2x 2x 2x 2x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 78359580499200/(1x130)
LCM = 78359580499200/130
LCM = 602766003840
Thus, we can understand that the LCM of 429,755,469,806,640 is 602766003840.
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FAQs on LCM of 429, 755, 469, 806, 640
1. What is the LCM of 429, 755, 469, 806, 640?
Answer: LCM of 429, 755, 469, 806, 640 is 602766003840.
2. How to calculate the LCM of 429, 755, 469, 806, 640?
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 429, 755, 469, 806, 640.
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}.