LCM of 286, 704, 209, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 704, 209, 770 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 286, 704, 209, 770. So, keep reading to learn more.
Given numbers are 286,704,209,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,704,209,770 is 6086080.
Find LCM of 286,704,209,770 with Prime Factorization
| 2 | 286, 704, 209, 770 |
| 11 | 143, 352, 209, 385 |
| 13, 32, 19, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 32 x 19 x 35 = 6086080
Therefore, the lowest common multiple of 286,704,209,770 is 6086080.
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.
286 x 704 x 209 x 770 = 32402289920
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
209 : 1, 11, 19, 209
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,704,209,770, is 11.
Now, the common factors can be found like this.
286:2x 11x 13
704:2x 2x 2x 2x 2x 2x 11
209:11x 19
770:2x 5x 7x 11
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 32402289920/(11x484)
LCM = 32402289920/5324
LCM = 6086080
Thus, we can understand that the LCM of 286,704,209,770 is 6086080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 286, 704, 209, 770
1. What is the LCM of 286, 704, 209, 770?
Answer: LCM of 286, 704, 209, 770 is 6086080.
2. How to calculate the LCM of 286, 704, 209, 770?
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 286, 704, 209, 770.
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}.