LCM of 822, 850, 340, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 850, 340, 605 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 822, 850, 340, 605. So, keep reading to learn more.
Given numbers are 822,850,340,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,850,340,605 is 84542700.
Find LCM of 822,850,340,605 with Prime Factorization
| 2 | 822, 850, 340, 605 |
| 5 | 411, 425, 170, 605 |
| 17 | 411, 85, 34, 121 |
| 411, 5, 2, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 411 x 5 x 2 x 121 = 84542700
Therefore, the lowest common multiple of 822,850,340,605 is 84542700.
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.
822 x 850 x 340 x 605 = 143722590000
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,850,340,605, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
850:2x 5x 5x 17
340:2x 2x 5x 17
605:5x 11x 11
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 5x 5x 17 = 1700
Therefore, the value for common factors is 1700.
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 = 143722590000/(1x1700)
LCM = 143722590000/1700
LCM = 84542700
Thus, we can understand that the LCM of 822,850,340,605 is 84542700.
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FAQs on LCM of 822, 850, 340, 605
1. What is the LCM of 822, 850, 340, 605?
Answer: LCM of 822, 850, 340, 605 is 84542700.
2. How to calculate the LCM of 822, 850, 340, 605?
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 822, 850, 340, 605.
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}.