LCM of 892, 676, 323, 447, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 676, 323, 447, 798 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 892, 676, 323, 447, 798. So, keep reading to learn more.
Given numbers are 892,676,323,447,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,676,323,447,798 is 152356028916.
Find LCM of 892,676,323,447,798 with Prime Factorization
| 2 | 892, 676, 323, 447, 798 |
| 2 | 446, 338, 323, 447, 399 |
| 3 | 223, 169, 323, 447, 399 |
| 19 | 223, 169, 323, 149, 133 |
| 223, 169, 17, 149, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 223 x 169 x 17 x 149 x 7 = 152356028916
Therefore, the lowest common multiple of 892,676,323,447,798 is 152356028916.
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.
892 x 676 x 323 x 447 x 798 = 69474349185696
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.
892 : 1, 2, 4, 223, 446, 892
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
323 : 1, 17, 19, 323
447 : 1, 3, 149, 447
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,676,323,447,798, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
676:2x 2x 13x 13
323:17x 19
447:3x 149
798:2x 3x 7x 19
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 69474349185696/(1x456)
LCM = 69474349185696/456
LCM = 152356028916
Thus, we can understand that the LCM of 892,676,323,447,798 is 152356028916.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 892, 676, 323, 447, 798
1. What is the LCM of 892, 676, 323, 447, 798?
Answer: LCM of 892, 676, 323, 447, 798 is 152356028916.
2. How to calculate the LCM of 892, 676, 323, 447, 798?
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 892, 676, 323, 447, 798.
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}.