LCM of 684, 562, 668, 736, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 562, 668, 736, 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 684, 562, 668, 736, 805. So, keep reading to learn more.
Given numbers are 684,562,668,736,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,562,668,736,805 is 206711557920.
Find LCM of 684,562,668,736,805 with Prime Factorization
| 2 | 684, 562, 668, 736, 805 |
| 2 | 342, 281, 334, 368, 805 |
| 23 | 171, 281, 167, 184, 805 |
| 171, 281, 167, 8, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 171 x 281 x 167 x 8 x 35 = 206711557920
Therefore, the lowest common multiple of 684,562,668,736,805 is 206711557920.
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.
684 x 562 x 668 x 736 x 805 = 152139706629120
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
562 : 1, 2, 281, 562
668 : 1, 2, 4, 167, 334, 668
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 684,562,668,736,805, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
562:2x 281
668:2x 2x 167
736:2x 2x 2x 2x 2x 23
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 23 = 736
Therefore, the value for common factors is 736.
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 = 152139706629120/(1x736)
LCM = 152139706629120/736
LCM = 206711557920
Thus, we can understand that the LCM of 684,562,668,736,805 is 206711557920.
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FAQs on LCM of 684, 562, 668, 736, 805
1. What is the LCM of 684, 562, 668, 736, 805?
Answer: LCM of 684, 562, 668, 736, 805 is 206711557920.
2. How to calculate the LCM of 684, 562, 668, 736, 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 684, 562, 668, 736, 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}.