LCM of 704, 674, 649, 524, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 674, 649, 524, 310 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, 674, 649, 524, 310. So, keep reading to learn more.
Given numbers are 704,674,649,524,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,674,649,524,310 is 284221917760.
Find LCM of 704,674,649,524,310 with Prime Factorization
| 2 | 704, 674, 649, 524, 310 |
| 2 | 352, 337, 649, 262, 155 |
| 11 | 176, 337, 649, 131, 155 |
| 16, 337, 59, 131, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 16 x 337 x 59 x 131 x 155 = 284221917760
Therefore, the lowest common multiple of 704,674,649,524,310 is 284221917760.
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 674 x 649 x 524 x 310 = 50023057525760
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
674 : 1, 2, 337, 674
649 : 1, 11, 59, 649
524 : 1, 2, 4, 131, 262, 524
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,674,649,524,310, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
674:2x 337
649:11x 59
524:2x 2x 131
310:2x 5x 31
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 11 = 176
Therefore, the value for common factors is 176.
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 = 50023057525760/(1x176)
LCM = 50023057525760/176
LCM = 284221917760
Thus, we can understand that the LCM of 704,674,649,524,310 is 284221917760.
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, 674, 649, 524, 310
1. What is the LCM of 704, 674, 649, 524, 310?
Answer: LCM of 704, 674, 649, 524, 310 is 284221917760.
2. How to calculate the LCM of 704, 674, 649, 524, 310?
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, 674, 649, 524, 310.
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}.