LCM of 572, 314, 314, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 314, 314, 560 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 572, 314, 314, 560. So, keep reading to learn more.
Given numbers are 572,314,314,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,314,314,560 is 12572560.
Find LCM of 572,314,314,560 with Prime Factorization
| 2 | 572, 314, 314, 560 |
| 2 | 286, 157, 157, 280 |
| 157 | 143, 157, 157, 140 |
| 143, 1, 1, 140 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 157 x 143 x 1 x 1 x 140 = 12572560
Therefore, the lowest common multiple of 572,314,314,560 is 12572560.
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.
572 x 314 x 314 x 560 = 31582270720
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
314 : 1, 2, 157, 314
314 : 1, 2, 157, 314
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,314,314,560, is 2.
Now, the common factors can be found like this.
572:2x 2x 11x 13
314:2x 157
314:2x 157
560:2x 2x 2x 2x 5x 7
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 157 = 1256
Therefore, the value for common factors is 1256.
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 = 31582270720/(2x1256)
LCM = 31582270720/2512
LCM = 12572560
Thus, we can understand that the LCM of 572,314,314,560 is 12572560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 314, 314, 560
1. What is the LCM of 572, 314, 314, 560?
Answer: LCM of 572, 314, 314, 560 is 12572560.
2. How to calculate the LCM of 572, 314, 314, 560?
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 572, 314, 314, 560.
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}.