LCM of 411, 268, 879, 246, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 268, 879, 246, 879 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 411, 268, 879, 246, 879. So, keep reading to learn more.
Given numbers are 411,268,879,246,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,268,879,246,879 is 1323207924.
Find LCM of 411,268,879,246,879 with Prime Factorization
| 2 | 411, 268, 879, 246, 879 |
| 3 | 411, 134, 879, 123, 879 |
| 293 | 137, 134, 293, 41, 293 |
| 137, 134, 1, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 137 x 134 x 1 x 41 x 1 = 1323207924
Therefore, the lowest common multiple of 411,268,879,246,879 is 1323207924.
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.
411 x 268 x 879 x 246 x 879 = 20935795773528
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.
411 : 1, 3, 137, 411
268 : 1, 2, 4, 67, 134, 268
879 : 1, 3, 293, 879
246 : 1, 2, 3, 6, 41, 82, 123, 246
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,268,879,246,879, is 1.
Now, the common factors can be found like this.
411:3x 137
268:2x 2x 67
879:3x 293
246:2x 3x 41
879:3x 293
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 293 = 15822
Therefore, the value for common factors is 15822.
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 = 20935795773528/(1x15822)
LCM = 20935795773528/15822
LCM = 1323207924
Thus, we can understand that the LCM of 411,268,879,246,879 is 1323207924.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 411, 268, 879, 246, 879
1. What is the LCM of 411, 268, 879, 246, 879?
Answer: LCM of 411, 268, 879, 246, 879 is 1323207924.
2. How to calculate the LCM of 411, 268, 879, 246, 879?
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 411, 268, 879, 246, 879.
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}.