LCM of 324, 977, 858, 344, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 977, 858, 344, 264 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 324, 977, 858, 344, 264. So, keep reading to learn more.
Given numbers are 324,977,858,344,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,977,858,344,264 is 3892907304.
Find LCM of 324,977,858,344,264 with Prime Factorization
| 2 | 324, 977, 858, 344, 264 |
| 2 | 162, 977, 429, 172, 132 |
| 2 | 81, 977, 429, 86, 66 |
| 3 | 81, 977, 429, 43, 33 |
| 11 | 27, 977, 143, 43, 11 |
| 27, 977, 13, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 27 x 977 x 13 x 43 x 1 = 3892907304
Therefore, the lowest common multiple of 324,977,858,344,264 is 3892907304.
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.
324 x 977 x 858 x 344 x 264 = 24665460678144
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
977 : 1, 977
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
344 : 1, 2, 4, 8, 43, 86, 172, 344
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,977,858,344,264, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
977:977
858:2x 3x 11x 13
344:2x 2x 2x 43
264:2x 2x 2x 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 2x 2x 2x 2x 2x 3x 3x 11 = 6336
Therefore, the value for common factors is 6336.
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 = 24665460678144/(1x6336)
LCM = 24665460678144/6336
LCM = 3892907304
Thus, we can understand that the LCM of 324,977,858,344,264 is 3892907304.
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FAQs on LCM of 324, 977, 858, 344, 264
1. What is the LCM of 324, 977, 858, 344, 264?
Answer: LCM of 324, 977, 858, 344, 264 is 3892907304.
2. How to calculate the LCM of 324, 977, 858, 344, 264?
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 324, 977, 858, 344, 264.
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}.