LCM of 324, 128, 264, 807, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 128, 264, 807, 296 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, 128, 264, 807, 296. So, keep reading to learn more.
Given numbers are 324,128,264,807,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,128,264,807,296 is 1135119744.
Find LCM of 324,128,264,807,296 with Prime Factorization
| 2 | 324, 128, 264, 807, 296 |
| 2 | 162, 64, 132, 807, 148 |
| 2 | 81, 32, 66, 807, 74 |
| 3 | 81, 16, 33, 807, 37 |
| 27, 16, 11, 269, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 27 x 16 x 11 x 269 x 37 = 1135119744
Therefore, the lowest common multiple of 324,128,264,807,296 is 1135119744.
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 128 x 264 x 807 x 296 = 2615315890176
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
128 : 1, 2, 4, 8, 16, 32, 64, 128
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
807 : 1, 3, 269, 807
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,128,264,807,296, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
128:2x 2x 2x 2x 2x 2x 2
264:2x 2x 2x 3x 11
807:3x 269
296:2x 2x 2x 37
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 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 2615315890176/(1x2304)
LCM = 2615315890176/2304
LCM = 1135119744
Thus, we can understand that the LCM of 324,128,264,807,296 is 1135119744.
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FAQs on LCM of 324, 128, 264, 807, 296
1. What is the LCM of 324, 128, 264, 807, 296?
Answer: LCM of 324, 128, 264, 807, 296 is 1135119744.
2. How to calculate the LCM of 324, 128, 264, 807, 296?
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, 128, 264, 807, 296.
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}.