LCM of 849, 518, 301, 682, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 518, 301, 682, 616 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 849, 518, 301, 682, 616. So, keep reading to learn more.
Given numbers are 849,518,301,682,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,518,301,682,616 is 25794093864.
Find LCM of 849,518,301,682,616 with Prime Factorization
| 2 | 849, 518, 301, 682, 616 |
| 7 | 849, 259, 301, 341, 308 |
| 11 | 849, 37, 43, 341, 44 |
| 849, 37, 43, 31, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 849 x 37 x 43 x 31 x 4 = 25794093864
Therefore, the lowest common multiple of 849,518,301,682,616 is 25794093864.
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.
849 x 518 x 301 x 682 x 616 = 55612066370784
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.
849 : 1, 3, 283, 849
518 : 1, 2, 7, 14, 37, 74, 259, 518
301 : 1, 7, 43, 301
682 : 1, 2, 11, 22, 31, 62, 341, 682
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,518,301,682,616, is 1.
Now, the common factors can be found like this.
849:3x 283
518:2x 7x 37
301:7x 43
682:2x 11x 31
616:2x 2x 2x 7x 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 7x 7x 11 = 2156
Therefore, the value for common factors is 2156.
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 = 55612066370784/(1x2156)
LCM = 55612066370784/2156
LCM = 25794093864
Thus, we can understand that the LCM of 849,518,301,682,616 is 25794093864.
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FAQs on LCM of 849, 518, 301, 682, 616
1. What is the LCM of 849, 518, 301, 682, 616?
Answer: LCM of 849, 518, 301, 682, 616 is 25794093864.
2. How to calculate the LCM of 849, 518, 301, 682, 616?
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 849, 518, 301, 682, 616.
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}.