LCM of 468, 319, 916, 231, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 319, 916, 231, 829 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 468, 319, 916, 231, 829. So, keep reading to learn more.
Given numbers are 468,319,916,231,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,319,916,231,829 is 198392198004.
Find LCM of 468,319,916,231,829 with Prime Factorization
| 2 | 468, 319, 916, 231, 829 |
| 2 | 234, 319, 458, 231, 829 |
| 3 | 117, 319, 229, 231, 829 |
| 11 | 39, 319, 229, 77, 829 |
| 39, 29, 229, 7, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 39 x 29 x 229 x 7 x 829 = 198392198004
Therefore, the lowest common multiple of 468,319,916,231,829 is 198392198004.
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.
468 x 319 x 916 x 231 x 829 = 26187770136528
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
319 : 1, 11, 29, 319
916 : 1, 2, 4, 229, 458, 916
231 : 1, 3, 7, 11, 21, 33, 77, 231
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,319,916,231,829, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
319:11x 29
916:2x 2x 229
231:3x 7x 11
829:829
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 11 = 132
Therefore, the value for common factors is 132.
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 = 26187770136528/(1x132)
LCM = 26187770136528/132
LCM = 198392198004
Thus, we can understand that the LCM of 468,319,916,231,829 is 198392198004.
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FAQs on LCM of 468, 319, 916, 231, 829
1. What is the LCM of 468, 319, 916, 231, 829?
Answer: LCM of 468, 319, 916, 231, 829 is 198392198004.
2. How to calculate the LCM of 468, 319, 916, 231, 829?
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 468, 319, 916, 231, 829.
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}.