LCM of 600, 226, 400, 250, 662
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 226, 400, 250, 662 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, 226, 400, 250, 662. So, keep reading to learn more.
Given numbers are 600,226,400,250,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,226,400,250,662 is 224418000.
Find LCM of 600,226,400,250,662 with Prime Factorization
| 2 | 600, 226, 400, 250, 662 |
| 2 | 300, 113, 200, 125, 331 |
| 2 | 150, 113, 100, 125, 331 |
| 5 | 75, 113, 50, 125, 331 |
| 5 | 15, 113, 10, 25, 331 |
| 3, 113, 2, 5, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 3 x 113 x 2 x 5 x 331 = 224418000
Therefore, the lowest common multiple of 600,226,400,250,662 is 224418000.
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 226 x 400 x 250 x 662 = 8976720000000
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
226 : 1, 2, 113, 226
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
250 : 1, 2, 5, 10, 25, 50, 125, 250
662 : 1, 2, 331, 662
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,226,400,250,662, is 2.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
226:2x 113
400:2x 2x 2x 2x 5x 5
250:2x 5x 5x 5
662:2x 331
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 5x 5x 5x 5 = 20000
Therefore, the value for common factors is 20000.
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 = 8976720000000/(2x20000)
LCM = 8976720000000/40000
LCM = 224418000
Thus, we can understand that the LCM of 600,226,400,250,662 is 224418000.
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FAQs on LCM of 600, 226, 400, 250, 662
1. What is the LCM of 600, 226, 400, 250, 662?
Answer: LCM of 600, 226, 400, 250, 662 is 224418000.
2. How to calculate the LCM of 600, 226, 400, 250, 662?
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, 226, 400, 250, 662.
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}.