LCM of 428, 684, 672, 494, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 684, 672, 494, 805 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 428, 684, 672, 494, 805. So, keep reading to learn more.
Given numbers are 428,684,672,494,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,684,672,494,805 is 6127299360.
Find LCM of 428,684,672,494,805 with Prime Factorization
| 2 | 428, 684, 672, 494, 805 |
| 2 | 214, 342, 336, 247, 805 |
| 3 | 107, 171, 168, 247, 805 |
| 7 | 107, 57, 56, 247, 805 |
| 19 | 107, 57, 8, 247, 115 |
| 107, 3, 8, 13, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 107 x 3 x 8 x 13 x 115 = 6127299360
Therefore, the lowest common multiple of 428,684,672,494,805 is 6127299360.
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.
428 x 684 x 672 x 494 x 805 = 78233358228480
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.
428 : 1, 2, 4, 107, 214, 428
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
494 : 1, 2, 13, 19, 26, 38, 247, 494
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,684,672,494,805, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
684:2x 2x 3x 3x 19
672:2x 2x 2x 2x 2x 3x 7
494:2x 13x 19
805:5x 7x 23
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 2x 3x 7x 19 = 12768
Therefore, the value for common factors is 12768.
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 = 78233358228480/(1x12768)
LCM = 78233358228480/12768
LCM = 6127299360
Thus, we can understand that the LCM of 428,684,672,494,805 is 6127299360.
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FAQs on LCM of 428, 684, 672, 494, 805
1. What is the LCM of 428, 684, 672, 494, 805?
Answer: LCM of 428, 684, 672, 494, 805 is 6127299360.
2. How to calculate the LCM of 428, 684, 672, 494, 805?
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 428, 684, 672, 494, 805.
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}.