LCM of 899, 552, 906, 360, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 552, 906, 360, 108 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 899, 552, 906, 360, 108. So, keep reading to learn more.
Given numbers are 899,552,906,360,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,552,906,360,108 is 3372005160.
Find LCM of 899,552,906,360,108 with Prime Factorization
| 2 | 899, 552, 906, 360, 108 |
| 2 | 899, 276, 453, 180, 54 |
| 2 | 899, 138, 453, 90, 27 |
| 3 | 899, 69, 453, 45, 27 |
| 3 | 899, 23, 151, 15, 9 |
| 899, 23, 151, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 899 x 23 x 151 x 5 x 3 = 3372005160
Therefore, the lowest common multiple of 899,552,906,360,108 is 3372005160.
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.
899 x 552 x 906 x 360 x 108 = 17480474749440
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.
899 : 1, 29, 31, 899
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
906 : 1, 2, 3, 6, 151, 302, 453, 906
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,552,906,360,108, is 1.
Now, the common factors can be found like this.
899:29x 31
552:2x 2x 2x 3x 23
906:2x 3x 151
360:2x 2x 2x 3x 3x 5
108:2x 2x 3x 3x 3
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 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 17480474749440/(1x5184)
LCM = 17480474749440/5184
LCM = 3372005160
Thus, we can understand that the LCM of 899,552,906,360,108 is 3372005160.
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FAQs on LCM of 899, 552, 906, 360, 108
1. What is the LCM of 899, 552, 906, 360, 108?
Answer: LCM of 899, 552, 906, 360, 108 is 3372005160.
2. How to calculate the LCM of 899, 552, 906, 360, 108?
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 899, 552, 906, 360, 108.
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}.