LCM of 759, 762, 323, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 762, 323, 286 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 759, 762, 323, 286. So, keep reading to learn more.
Given numbers are 759,762,323,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,762,323,286 is 809508414.
Find LCM of 759,762,323,286 with Prime Factorization
| 2 | 759, 762, 323, 286 |
| 3 | 759, 381, 323, 143 |
| 11 | 253, 127, 323, 143 |
| 23, 127, 323, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 127 x 323 x 13 = 809508414
Therefore, the lowest common multiple of 759,762,323,286 is 809508414.
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.
759 x 762 x 323 x 286 = 53427555324
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
762 : 1, 2, 3, 6, 127, 254, 381, 762
323 : 1, 17, 19, 323
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,762,323,286, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
762:2x 3x 127
323:17x 19
286:2x 11x 13
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 11 = 66
Therefore, the value for common factors is 66.
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 = 53427555324/(1x66)
LCM = 53427555324/66
LCM = 809508414
Thus, we can understand that the LCM of 759,762,323,286 is 809508414.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 759, 762, 323, 286
1. What is the LCM of 759, 762, 323, 286?
Answer: LCM of 759, 762, 323, 286 is 809508414.
2. How to calculate the LCM of 759, 762, 323, 286?
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 759, 762, 323, 286.
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}.