LCM of 165, 603, 946, 630, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 603, 946, 630, 906 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 165, 603, 946, 630, 906. So, keep reading to learn more.
Given numbers are 165,603,946,630,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,603,946,630,906 is 3014764830.
Find LCM of 165,603,946,630,906 with Prime Factorization
| 2 | 165, 603, 946, 630, 906 |
| 3 | 165, 603, 473, 315, 453 |
| 3 | 55, 201, 473, 105, 151 |
| 5 | 55, 67, 473, 35, 151 |
| 11 | 11, 67, 473, 7, 151 |
| 1, 67, 43, 7, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 1 x 67 x 43 x 7 x 151 = 3014764830
Therefore, the lowest common multiple of 165,603,946,630,906 is 3014764830.
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.
165 x 603 x 946 x 630 x 906 = 53723109270600
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
603 : 1, 3, 9, 67, 201, 603
946 : 1, 2, 11, 22, 43, 86, 473, 946
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,603,946,630,906, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
603:3x 3x 67
946:2x 11x 43
630:2x 3x 3x 5x 7
906:2x 3x 151
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 3x 3x 3x 3x 5x 11 = 17820
Therefore, the value for common factors is 17820.
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 = 53723109270600/(1x17820)
LCM = 53723109270600/17820
LCM = 3014764830
Thus, we can understand that the LCM of 165,603,946,630,906 is 3014764830.
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FAQs on LCM of 165, 603, 946, 630, 906
1. What is the LCM of 165, 603, 946, 630, 906?
Answer: LCM of 165, 603, 946, 630, 906 is 3014764830.
2. How to calculate the LCM of 165, 603, 946, 630, 906?
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 165, 603, 946, 630, 906.
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}.