LCM of 485, 537, 895, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 485, 537, 895, 828 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 485, 537, 895, 828. So, keep reading to learn more.
Given numbers are 485,537,895,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,537,895,828 is 71882820.
Find LCM of 485,537,895,828 with Prime Factorization
| 3 | 485, 537, 895, 828 |
| 5 | 485, 179, 895, 276 |
| 179 | 97, 179, 179, 276 |
| 97, 1, 1, 276 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 179 x 97 x 1 x 1 x 276 = 71882820
Therefore, the lowest common multiple of 485,537,895,828 is 71882820.
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.
485 x 537 x 895 x 828 = 193005371700
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.
485 : 1, 5, 97, 485
537 : 1, 3, 179, 537
895 : 1, 5, 179, 895
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,537,895,828, is 1.
Now, the common factors can be found like this.
485:5x 97
537:3x 179
895:5x 179
828:2x 2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 179 = 2685
Therefore, the value for common factors is 2685.
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 = 193005371700/(1x2685)
LCM = 193005371700/2685
LCM = 71882820
Thus, we can understand that the LCM of 485,537,895,828 is 71882820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 485, 537, 895, 828
1. What is the LCM of 485, 537, 895, 828?
Answer: LCM of 485, 537, 895, 828 is 71882820.
2. How to calculate the LCM of 485, 537, 895, 828?
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 485, 537, 895, 828.
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}.