LCM of 845, 549, 696, 299, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 549, 696, 299, 366 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 845, 549, 696, 299, 366. So, keep reading to learn more.
Given numbers are 845,549,696,299,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,549,696,299,366 is 2475397080.
Find LCM of 845,549,696,299,366 with Prime Factorization
| 2 | 845, 549, 696, 299, 366 |
| 3 | 845, 549, 348, 299, 183 |
| 13 | 845, 61, 116, 299, 183 |
| 61 | 65, 61, 116, 23, 183 |
| 65, 1, 116, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 61 x 65 x 1 x 116 x 23 x 3 = 2475397080
Therefore, the lowest common multiple of 845,549,696,299,366 is 2475397080.
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.
845 x 549 x 696 x 299 x 366 = 35333817919920
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.
845 : 1, 5, 13, 65, 169, 845
549 : 1, 3, 9, 61, 183, 549
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
299 : 1, 13, 23, 299
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,549,696,299,366, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
549:3x 3x 61
696:2x 2x 2x 3x 29
299:13x 23
366:2x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 61 = 14274
Therefore, the value for common factors is 14274.
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 = 35333817919920/(1x14274)
LCM = 35333817919920/14274
LCM = 2475397080
Thus, we can understand that the LCM of 845,549,696,299,366 is 2475397080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 845, 549, 696, 299, 366
1. What is the LCM of 845, 549, 696, 299, 366?
Answer: LCM of 845, 549, 696, 299, 366 is 2475397080.
2. How to calculate the LCM of 845, 549, 696, 299, 366?
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 845, 549, 696, 299, 366.
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}.