LCM of 768, 154, 799, 871, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 154, 799, 871, 893 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 768, 154, 799, 871, 893. So, keep reading to learn more.
Given numbers are 768,154,799,871,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,154,799,871,893 is 781934689536.
Find LCM of 768,154,799,871,893 with Prime Factorization
| 2 | 768, 154, 799, 871, 893 |
| 47 | 384, 77, 799, 871, 893 |
| 384, 77, 17, 871, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 384 x 77 x 17 x 871 x 19 = 781934689536
Therefore, the lowest common multiple of 768,154,799,871,893 is 781934689536.
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.
768 x 154 x 799 x 871 x 893 = 73501860816384
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
154 : 1, 2, 7, 11, 14, 22, 77, 154
799 : 1, 17, 47, 799
871 : 1, 13, 67, 871
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,154,799,871,893, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
154:2x 7x 11
799:17x 47
871:13x 67
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 47 = 94
Therefore, the value for common factors is 94.
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 = 73501860816384/(1x94)
LCM = 73501860816384/94
LCM = 781934689536
Thus, we can understand that the LCM of 768,154,799,871,893 is 781934689536.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 768, 154, 799, 871, 893
1. What is the LCM of 768, 154, 799, 871, 893?
Answer: LCM of 768, 154, 799, 871, 893 is 781934689536.
2. How to calculate the LCM of 768, 154, 799, 871, 893?
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 768, 154, 799, 871, 893.
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}.