LCM of 722, 759, 962, 286, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 759, 962, 286, 321 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 722, 759, 962, 286, 321. So, keep reading to learn more.
Given numbers are 722,759,962,286,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,759,962,286,321 is 28203813066.
Find LCM of 722,759,962,286,321 with Prime Factorization
| 2 | 722, 759, 962, 286, 321 |
| 3 | 361, 759, 481, 143, 321 |
| 11 | 361, 253, 481, 143, 107 |
| 13 | 361, 23, 481, 13, 107 |
| 361, 23, 37, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 361 x 23 x 37 x 1 x 107 = 28203813066
Therefore, the lowest common multiple of 722,759,962,286,321 is 28203813066.
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.
722 x 759 x 962 x 286 x 321 = 48397743221256
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.
722 : 1, 2, 19, 38, 361, 722
759 : 1, 3, 11, 23, 33, 69, 253, 759
962 : 1, 2, 13, 26, 37, 74, 481, 962
286 : 1, 2, 11, 13, 22, 26, 143, 286
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,759,962,286,321, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
759:3x 11x 23
962:2x 13x 37
286:2x 11x 13
321:3x 107
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 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 48397743221256/(1x1716)
LCM = 48397743221256/1716
LCM = 28203813066
Thus, we can understand that the LCM of 722,759,962,286,321 is 28203813066.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 722, 759, 962, 286, 321
1. What is the LCM of 722, 759, 962, 286, 321?
Answer: LCM of 722, 759, 962, 286, 321 is 28203813066.
2. How to calculate the LCM of 722, 759, 962, 286, 321?
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 722, 759, 962, 286, 321.
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}.