LCM of 704, 784, 286, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 784, 286, 758 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 704, 784, 286, 758. So, keep reading to learn more.
Given numbers are 704,784,286,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,784,286,758 is 169961792.
Find LCM of 704,784,286,758 with Prime Factorization
| 2 | 704, 784, 286, 758 |
| 2 | 352, 392, 143, 379 |
| 2 | 176, 196, 143, 379 |
| 2 | 88, 98, 143, 379 |
| 11 | 44, 49, 143, 379 |
| 4, 49, 13, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 4 x 49 x 13 x 379 = 169961792
Therefore, the lowest common multiple of 704,784,286,758 is 169961792.
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.
704 x 784 x 286 x 758 = 119653101568
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
286 : 1, 2, 11, 13, 22, 26, 143, 286
758 : 1, 2, 379, 758
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,784,286,758, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
784:2x 2x 2x 2x 7x 7
286:2x 11x 13
758:2x 379
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 119653101568/(2x352)
LCM = 119653101568/704
LCM = 169961792
Thus, we can understand that the LCM of 704,784,286,758 is 169961792.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 704, 784, 286, 758
1. What is the LCM of 704, 784, 286, 758?
Answer: LCM of 704, 784, 286, 758 is 169961792.
2. How to calculate the LCM of 704, 784, 286, 758?
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 704, 784, 286, 758.
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}.