LCM of 572, 309, 704, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 309, 704, 270 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, 309, 704, 270. So, keep reading to learn more.
Given numbers are 572,309,704,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,309,704,270 is 127258560.
Find LCM of 572,309,704,270 with Prime Factorization
| 2 | 572, 309, 704, 270 |
| 2 | 286, 309, 352, 135 |
| 3 | 143, 309, 176, 135 |
| 11 | 143, 103, 176, 45 |
| 13, 103, 16, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 103 x 16 x 45 = 127258560
Therefore, the lowest common multiple of 572,309,704,270 is 127258560.
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 309 x 704 x 270 = 33596259840
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
309 : 1, 3, 103, 309
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,309,704,270, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
309:3x 103
704:2x 2x 2x 2x 2x 2x 11
270:2x 3x 3x 3x 5
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 33596259840/(1x264)
LCM = 33596259840/264
LCM = 127258560
Thus, we can understand that the LCM of 572,309,704,270 is 127258560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 309, 704, 270
1. What is the LCM of 572, 309, 704, 270?
Answer: LCM of 572, 309, 704, 270 is 127258560.
2. How to calculate the LCM of 572, 309, 704, 270?
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, 309, 704, 270.
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}.