LCM of 893, 517, 462, 399, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 517, 462, 399, 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 893, 517, 462, 399, 297. So, keep reading to learn more.
Given numbers are 893,517,462,399,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,517,462,399,297 is 3713094.
Find LCM of 893,517,462,399,297 with Prime Factorization
| 3 | 893, 517, 462, 399, 297 |
| 7 | 893, 517, 154, 133, 99 |
| 11 | 893, 517, 22, 19, 99 |
| 19 | 893, 47, 2, 19, 9 |
| 47 | 47, 47, 2, 1, 9 |
| 1, 1, 2, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 19 x 47 x 1 x 1 x 2 x 1 x 9 = 3713094
Therefore, the lowest common multiple of 893,517,462,399,297 is 3713094.
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.
893 x 517 x 462 x 399 x 297 = 25276289596866
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.
893 : 1, 19, 47, 893
517 : 1, 11, 47, 517
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
399 : 1, 3, 7, 19, 21, 57, 133, 399
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 893,517,462,399,297, is 1.
Now, the common factors can be found like this.
893:19x 47
517:11x 47
462:2x 3x 7x 11
399:3x 7x 19
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.
3x 3x 7x 11x 11x 19x 47 = 6807339
Therefore, the value for common factors is 6807339.
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 = 25276289596866/(1x6807339)
LCM = 25276289596866/6807339
LCM = 3713094
Thus, we can understand that the LCM of 893,517,462,399,297 is 3713094.
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FAQs on LCM of 893, 517, 462, 399, 297
1. What is the LCM of 893, 517, 462, 399, 297?
Answer: LCM of 893, 517, 462, 399, 297 is 3713094.
2. How to calculate the LCM of 893, 517, 462, 399, 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 893, 517, 462, 399, 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}.