LCM of 363, 575, 759, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 575, 759, 864 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 363, 575, 759, 864. So, keep reading to learn more.
Given numbers are 363,575,759,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,575,759,864 is 60112800.
Find LCM of 363,575,759,864 with Prime Factorization
| 3 | 363, 575, 759, 864 |
| 11 | 121, 575, 253, 288 |
| 23 | 11, 575, 23, 288 |
| 11, 25, 1, 288 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 11 x 25 x 1 x 288 = 60112800
Therefore, the lowest common multiple of 363,575,759,864 is 60112800.
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.
363 x 575 x 759 x 864 = 136876845600
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.
363 : 1, 3, 11, 33, 121, 363
575 : 1, 5, 23, 25, 115, 575
759 : 1, 3, 11, 23, 33, 69, 253, 759
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,575,759,864, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
575:5x 5x 23
759:3x 11x 23
864:2x 2x 2x 2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 23 = 2277
Therefore, the value for common factors is 2277.
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 = 136876845600/(1x2277)
LCM = 136876845600/2277
LCM = 60112800
Thus, we can understand that the LCM of 363,575,759,864 is 60112800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 363, 575, 759, 864
1. What is the LCM of 363, 575, 759, 864?
Answer: LCM of 363, 575, 759, 864 is 60112800.
2. How to calculate the LCM of 363, 575, 759, 864?
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 363, 575, 759, 864.
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}.