LCM of 768, 715, 178, 143, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 715, 178, 143, 689 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, 715, 178, 143, 689. So, keep reading to learn more.
Given numbers are 768,715,178,143,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,715,178,143,689 is 2590199040.
Find LCM of 768,715,178,143,689 with Prime Factorization
| 2 | 768, 715, 178, 143, 689 |
| 11 | 384, 715, 89, 143, 689 |
| 13 | 384, 65, 89, 13, 689 |
| 384, 5, 89, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 384 x 5 x 89 x 1 x 53 = 2590199040
Therefore, the lowest common multiple of 768,715,178,143,689 is 2590199040.
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 715 x 178 x 143 x 689 = 9630360030720
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
178 : 1, 2, 89, 178
143 : 1, 11, 13, 143
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,715,178,143,689, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
715:5x 11x 13
178:2x 89
143:11x 13
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13x 13 = 3718
Therefore, the value for common factors is 3718.
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 = 9630360030720/(1x3718)
LCM = 9630360030720/3718
LCM = 2590199040
Thus, we can understand that the LCM of 768,715,178,143,689 is 2590199040.
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FAQs on LCM of 768, 715, 178, 143, 689
1. What is the LCM of 768, 715, 178, 143, 689?
Answer: LCM of 768, 715, 178, 143, 689 is 2590199040.
2. How to calculate the LCM of 768, 715, 178, 143, 689?
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, 715, 178, 143, 689.
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}.