LCM of 828, 214, 287, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 214, 287, 535 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 828, 214, 287, 535. So, keep reading to learn more.
Given numbers are 828,214,287,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,214,287,535 is 127135260.
Find LCM of 828,214,287,535 with Prime Factorization
| 2 | 828, 214, 287, 535 |
| 107 | 414, 107, 287, 535 |
| 414, 1, 287, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 414 x 1 x 287 x 5 = 127135260
Therefore, the lowest common multiple of 828,214,287,535 is 127135260.
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.
828 x 214 x 287 x 535 = 27206945640
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
214 : 1, 2, 107, 214
287 : 1, 7, 41, 287
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,214,287,535, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
214:2x 107
287:7x 41
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 107 = 214
Therefore, the value for common factors is 214.
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 = 27206945640/(1x214)
LCM = 27206945640/214
LCM = 127135260
Thus, we can understand that the LCM of 828,214,287,535 is 127135260.
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FAQs on LCM of 828, 214, 287, 535
1. What is the LCM of 828, 214, 287, 535?
Answer: LCM of 828, 214, 287, 535 is 127135260.
2. How to calculate the LCM of 828, 214, 287, 535?
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 828, 214, 287, 535.
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}.