LCM of 105, 990, 165, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 990, 165, 946 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 105, 990, 165, 946. So, keep reading to learn more.
Given numbers are 105,990,165,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,990,165,946 is 297990.
Find LCM of 105,990,165,946 with Prime Factorization
| 2 | 105, 990, 165, 946 |
| 3 | 105, 495, 165, 473 |
| 5 | 35, 55, 165, 473 |
| 11 | 7, 11, 33, 473 |
| 7, 1, 3, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 7 x 1 x 3 x 43 = 297990
Therefore, the lowest common multiple of 105,990,165,946 is 297990.
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.
105 x 990 x 165 x 946 = 16225555500
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
165 : 1, 3, 5, 11, 15, 33, 55, 165
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,990,165,946, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
990:2x 3x 3x 5x 11
165:3x 5x 11
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 11x 11 = 54450
Therefore, the value for common factors is 54450.
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 = 16225555500/(1x54450)
LCM = 16225555500/54450
LCM = 297990
Thus, we can understand that the LCM of 105,990,165,946 is 297990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 990, 165, 946
1. What is the LCM of 105, 990, 165, 946?
Answer: LCM of 105, 990, 165, 946 is 297990.
2. How to calculate the LCM of 105, 990, 165, 946?
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 105, 990, 165, 946.
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}.