LCM of 858, 663, 877, 161, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 663, 877, 161, 768 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 858, 663, 877, 161, 768. So, keep reading to learn more.
Given numbers are 858,663,877,161,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,663,877,161,768 is 263615928576.
Find LCM of 858,663,877,161,768 with Prime Factorization
| 2 | 858, 663, 877, 161, 768 |
| 3 | 429, 663, 877, 161, 384 |
| 13 | 143, 221, 877, 161, 128 |
| 11, 17, 877, 161, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 11 x 17 x 877 x 161 x 128 = 263615928576
Therefore, the lowest common multiple of 858,663,877,161,768 is 263615928576.
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.
858 x 663 x 877 x 161 x 768 = 61686127286784
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
663 : 1, 3, 13, 17, 39, 51, 221, 663
877 : 1, 877
161 : 1, 7, 23, 161
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,663,877,161,768, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
663:3x 13x 17
877:877
161:7x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 61686127286784/(1x234)
LCM = 61686127286784/234
LCM = 263615928576
Thus, we can understand that the LCM of 858,663,877,161,768 is 263615928576.
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FAQs on LCM of 858, 663, 877, 161, 768
1. What is the LCM of 858, 663, 877, 161, 768?
Answer: LCM of 858, 663, 877, 161, 768 is 263615928576.
2. How to calculate the LCM of 858, 663, 877, 161, 768?
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 858, 663, 877, 161, 768.
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}.