LCM of 264, 591, 448, 552, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 591, 448, 552, 837 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 264, 591, 448, 552, 837. So, keep reading to learn more.
Given numbers are 264,591,448,552,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,591,448,552,837 is 18689178816.
Find LCM of 264,591,448,552,837 with Prime Factorization
| 2 | 264, 591, 448, 552, 837 |
| 2 | 132, 591, 224, 276, 837 |
| 2 | 66, 591, 112, 138, 837 |
| 3 | 33, 591, 56, 69, 837 |
| 11, 197, 56, 23, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 197 x 56 x 23 x 279 = 18689178816
Therefore, the lowest common multiple of 264,591,448,552,837 is 18689178816.
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.
264 x 591 x 448 x 552 x 837 = 32294900994048
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
591 : 1, 3, 197, 591
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,591,448,552,837, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
591:3x 197
448:2x 2x 2x 2x 2x 2x 7
552:2x 2x 2x 3x 23
837:3x 3x 3x 31
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 3 = 1728
Therefore, the value for common factors is 1728.
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 = 32294900994048/(1x1728)
LCM = 32294900994048/1728
LCM = 18689178816
Thus, we can understand that the LCM of 264,591,448,552,837 is 18689178816.
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FAQs on LCM of 264, 591, 448, 552, 837
1. What is the LCM of 264, 591, 448, 552, 837?
Answer: LCM of 264, 591, 448, 552, 837 is 18689178816.
2. How to calculate the LCM of 264, 591, 448, 552, 837?
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 264, 591, 448, 552, 837.
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}.