LCM of 773, 858, 188, 704, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 858, 188, 704, 561 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 773, 858, 188, 704, 561. So, keep reading to learn more.
Given numbers are 773,858,188,704,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,858,188,704,561 is 16957566912.
Find LCM of 773,858,188,704,561 with Prime Factorization
| 2 | 773, 858, 188, 704, 561 |
| 2 | 773, 429, 94, 352, 561 |
| 3 | 773, 429, 47, 176, 561 |
| 11 | 773, 143, 47, 176, 187 |
| 773, 13, 47, 16, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 773 x 13 x 47 x 16 x 17 = 16957566912
Therefore, the lowest common multiple of 773,858,188,704,561 is 16957566912.
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.
773 x 858 x 188 x 704 x 561 = 49244774312448
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.
773 : 1, 773
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
188 : 1, 2, 4, 47, 94, 188
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,858,188,704,561, is 1.
Now, the common factors can be found like this.
773:773
858:2x 3x 11x 13
188:2x 2x 47
704:2x 2x 2x 2x 2x 2x 11
561:3x 11x 17
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 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 49244774312448/(1x2904)
LCM = 49244774312448/2904
LCM = 16957566912
Thus, we can understand that the LCM of 773,858,188,704,561 is 16957566912.
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FAQs on LCM of 773, 858, 188, 704, 561
1. What is the LCM of 773, 858, 188, 704, 561?
Answer: LCM of 773, 858, 188, 704, 561 is 16957566912.
2. How to calculate the LCM of 773, 858, 188, 704, 561?
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 773, 858, 188, 704, 561.
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}.