LCM of 270, 627, 287, 828, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 627, 287, 828, 704 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 270, 627, 287, 828, 704. So, keep reading to learn more.
Given numbers are 270,627,287,828,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,627,287,828,704 is 11919821760.
Find LCM of 270,627,287,828,704 with Prime Factorization
| 2 | 270, 627, 287, 828, 704 |
| 2 | 135, 627, 287, 414, 352 |
| 3 | 135, 627, 287, 207, 176 |
| 3 | 45, 209, 287, 69, 176 |
| 11 | 15, 209, 287, 23, 176 |
| 15, 19, 287, 23, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 15 x 19 x 287 x 23 x 16 = 11919821760
Therefore, the lowest common multiple of 270,627,287,828,704 is 11919821760.
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.
270 x 627 x 287 x 828 x 704 = 28321496501760
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
627 : 1, 3, 11, 19, 33, 57, 209, 627
287 : 1, 7, 41, 287
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,627,287,828,704, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
627:3x 11x 19
287:7x 41
828:2x 2x 3x 3x 23
704:2x 2x 2x 2x 2x 2x 11
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 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 28321496501760/(1x2376)
LCM = 28321496501760/2376
LCM = 11919821760
Thus, we can understand that the LCM of 270,627,287,828,704 is 11919821760.
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FAQs on LCM of 270, 627, 287, 828, 704
1. What is the LCM of 270, 627, 287, 828, 704?
Answer: LCM of 270, 627, 287, 828, 704 is 11919821760.
2. How to calculate the LCM of 270, 627, 287, 828, 704?
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 270, 627, 287, 828, 704.
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}.