LCM of 824, 782, 759, 832, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 782, 759, 832, 338 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 824, 782, 759, 832, 338. So, keep reading to learn more.
Given numbers are 824,782,759,832,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,782,759,832,338 is 14374561344.
Find LCM of 824,782,759,832,338 with Prime Factorization
| 2 | 824, 782, 759, 832, 338 |
| 2 | 412, 391, 759, 416, 169 |
| 2 | 206, 391, 759, 208, 169 |
| 13 | 103, 391, 759, 104, 169 |
| 23 | 103, 391, 759, 8, 13 |
| 103, 17, 33, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 23 x 103 x 17 x 33 x 8 x 13 = 14374561344
Therefore, the lowest common multiple of 824,782,759,832,338 is 14374561344.
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.
824 x 782 x 759 x 832 x 338 = 137535802939392
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
782 : 1, 2, 17, 23, 34, 46, 391, 782
759 : 1, 3, 11, 23, 33, 69, 253, 759
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,782,759,832,338, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
782:2x 17x 23
759:3x 11x 23
832:2x 2x 2x 2x 2x 2x 13
338:2x 13x 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 2x 2x 2x 2x 13x 23 = 9568
Therefore, the value for common factors is 9568.
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 = 137535802939392/(1x9568)
LCM = 137535802939392/9568
LCM = 14374561344
Thus, we can understand that the LCM of 824,782,759,832,338 is 14374561344.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 824, 782, 759, 832, 338
1. What is the LCM of 824, 782, 759, 832, 338?
Answer: LCM of 824, 782, 759, 832, 338 is 14374561344.
2. How to calculate the LCM of 824, 782, 759, 832, 338?
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 824, 782, 759, 832, 338.
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}.