LCM of 413, 894, 298, 393, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 894, 298, 393, 892 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 413, 894, 298, 393, 892. So, keep reading to learn more.
Given numbers are 413,894,298,393,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,894,298,393,892 is 21572164572.
Find LCM of 413,894,298,393,892 with Prime Factorization
| 2 | 413, 894, 298, 393, 892 |
| 3 | 413, 447, 149, 393, 446 |
| 149 | 413, 149, 149, 131, 446 |
| 413, 1, 1, 131, 446 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 413 x 1 x 1 x 131 x 446 = 21572164572
Therefore, the lowest common multiple of 413,894,298,393,892 is 21572164572.
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.
413 x 894 x 298 x 393 x 892 = 38571030254736
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.
413 : 1, 7, 59, 413
894 : 1, 2, 3, 6, 149, 298, 447, 894
298 : 1, 2, 149, 298
393 : 1, 3, 131, 393
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,894,298,393,892, is 1.
Now, the common factors can be found like this.
413:7x 59
894:2x 3x 149
298:2x 149
393:3x 131
892:2x 2x 223
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 3x 149 = 1788
Therefore, the value for common factors is 1788.
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 = 38571030254736/(1x1788)
LCM = 38571030254736/1788
LCM = 21572164572
Thus, we can understand that the LCM of 413,894,298,393,892 is 21572164572.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 413, 894, 298, 393, 892
1. What is the LCM of 413, 894, 298, 393, 892?
Answer: LCM of 413, 894, 298, 393, 892 is 21572164572.
2. How to calculate the LCM of 413, 894, 298, 393, 892?
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 413, 894, 298, 393, 892.
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}.