LCM of 855, 483, 826, 412, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 483, 826, 412, 297 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 855, 483, 826, 412, 297. So, keep reading to learn more.
Given numbers are 855,483,826,412,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,483,826,412,297 is 110421885420.
Find LCM of 855,483,826,412,297 with Prime Factorization
| 2 | 855, 483, 826, 412, 297 |
| 3 | 855, 483, 413, 206, 297 |
| 3 | 285, 161, 413, 206, 99 |
| 7 | 95, 161, 413, 206, 33 |
| 95, 23, 59, 206, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 95 x 23 x 59 x 206 x 33 = 110421885420
Therefore, the lowest common multiple of 855,483,826,412,297 is 110421885420.
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.
855 x 483 x 826 x 412 x 297 = 41739472688760
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
483 : 1, 3, 7, 21, 23, 69, 161, 483
826 : 1, 2, 7, 14, 59, 118, 413, 826
412 : 1, 2, 4, 103, 206, 412
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,483,826,412,297, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
483:3x 7x 23
826:2x 7x 59
412:2x 2x 103
297:3x 3x 3x 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 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 41739472688760/(1x378)
LCM = 41739472688760/378
LCM = 110421885420
Thus, we can understand that the LCM of 855,483,826,412,297 is 110421885420.
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FAQs on LCM of 855, 483, 826, 412, 297
1. What is the LCM of 855, 483, 826, 412, 297?
Answer: LCM of 855, 483, 826, 412, 297 is 110421885420.
2. How to calculate the LCM of 855, 483, 826, 412, 297?
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 855, 483, 826, 412, 297.
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}.