LCM of 524, 704, 412, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 704, 412, 334 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 524, 704, 412, 334. So, keep reading to learn more.
Given numbers are 524,704,412,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,704,412,334 is 1586345024.
Find LCM of 524,704,412,334 with Prime Factorization
| 2 | 524, 704, 412, 334 |
| 2 | 262, 352, 206, 167 |
| 131, 176, 103, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 176 x 103 x 167 = 1586345024
Therefore, the lowest common multiple of 524,704,412,334 is 1586345024.
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.
524 x 704 x 412 x 334 = 50763040768
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.
524 : 1, 2, 4, 131, 262, 524
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
412 : 1, 2, 4, 103, 206, 412
334 : 1, 2, 167, 334
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,704,412,334, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
704:2x 2x 2x 2x 2x 2x 11
412:2x 2x 103
334:2x 167
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 2 = 16
Therefore, the value for common factors is 16.
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 = 50763040768/(2x16)
LCM = 50763040768/32
LCM = 1586345024
Thus, we can understand that the LCM of 524,704,412,334 is 1586345024.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 524, 704, 412, 334
1. What is the LCM of 524, 704, 412, 334?
Answer: LCM of 524, 704, 412, 334 is 1586345024.
2. How to calculate the LCM of 524, 704, 412, 334?
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 524, 704, 412, 334.
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}.