LCM of 600, 412, 159, 298, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 412, 159, 298, 256 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 600, 412, 159, 298, 256. So, keep reading to learn more.
Given numbers are 600,412,159,298,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,412,159,298,256 is 15617107200.
Find LCM of 600,412,159,298,256 with Prime Factorization
| 2 | 600, 412, 159, 298, 256 |
| 2 | 300, 206, 159, 149, 128 |
| 2 | 150, 103, 159, 149, 64 |
| 3 | 75, 103, 159, 149, 32 |
| 25, 103, 53, 149, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 25 x 103 x 53 x 149 x 32 = 15617107200
Therefore, the lowest common multiple of 600,412,159,298,256 is 15617107200.
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.
600 x 412 x 159 x 298 x 256 = 2998484582400
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
412 : 1, 2, 4, 103, 206, 412
159 : 1, 3, 53, 159
298 : 1, 2, 149, 298
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,412,159,298,256, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
412:2x 2x 103
159:3x 53
298:2x 149
256:2x 2x 2x 2x 2x 2x 2x 2
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 3 = 192
Therefore, the value for common factors is 192.
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 = 2998484582400/(1x192)
LCM = 2998484582400/192
LCM = 15617107200
Thus, we can understand that the LCM of 600,412,159,298,256 is 15617107200.
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FAQs on LCM of 600, 412, 159, 298, 256
1. What is the LCM of 600, 412, 159, 298, 256?
Answer: LCM of 600, 412, 159, 298, 256 is 15617107200.
2. How to calculate the LCM of 600, 412, 159, 298, 256?
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 600, 412, 159, 298, 256.
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}.