LCM of 906, 151, 423, 800, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 151, 423, 800, 252 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 906, 151, 423, 800, 252. So, keep reading to learn more.
Given numbers are 906,151,423,800,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,151,423,800,252 is 357688800.
Find LCM of 906,151,423,800,252 with Prime Factorization
| 2 | 906, 151, 423, 800, 252 |
| 2 | 453, 151, 423, 400, 126 |
| 3 | 453, 151, 423, 200, 63 |
| 3 | 151, 151, 141, 200, 21 |
| 151 | 151, 151, 47, 200, 7 |
| 1, 1, 47, 200, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 151 x 1 x 1 x 47 x 200 x 7 = 357688800
Therefore, the lowest common multiple of 906,151,423,800,252 is 357688800.
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.
906 x 151 x 423 x 800 x 252 = 11666377900800
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
151 : 1, 151
423 : 1, 3, 9, 47, 141, 423
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,151,423,800,252, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
151:151
423:3x 3x 47
800:2x 2x 2x 2x 2x 5x 5
252:2x 2x 3x 3x 7
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 3x 3x 3x 151 = 32616
Therefore, the value for common factors is 32616.
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 = 11666377900800/(1x32616)
LCM = 11666377900800/32616
LCM = 357688800
Thus, we can understand that the LCM of 906,151,423,800,252 is 357688800.
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FAQs on LCM of 906, 151, 423, 800, 252
1. What is the LCM of 906, 151, 423, 800, 252?
Answer: LCM of 906, 151, 423, 800, 252 is 357688800.
2. How to calculate the LCM of 906, 151, 423, 800, 252?
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 906, 151, 423, 800, 252.
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}.