LCM of 946, 420, 990, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 420, 990, 188 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 946, 420, 990, 188. So, keep reading to learn more.
Given numbers are 946,420,990,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,420,990,188 is 28011060.
Find LCM of 946,420,990,188 with Prime Factorization
| 2 | 946, 420, 990, 188 |
| 2 | 473, 210, 495, 94 |
| 3 | 473, 105, 495, 47 |
| 5 | 473, 35, 165, 47 |
| 11 | 473, 7, 33, 47 |
| 43, 7, 3, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 43 x 7 x 3 x 47 = 28011060
Therefore, the lowest common multiple of 946,420,990,188 is 28011060.
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.
946 x 420 x 990 x 188 = 73949198400
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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
188 : 1, 2, 4, 47, 94, 188
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,420,990,188, is 2.
Now, the common factors can be found like this.
946:2x 11x 43
420:2x 2x 3x 5x 7
990:2x 3x 3x 5x 11
188:2x 2x 47
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 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 73949198400/(2x1320)
LCM = 73949198400/2640
LCM = 28011060
Thus, we can understand that the LCM of 946,420,990,188 is 28011060.
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FAQs on LCM of 946, 420, 990, 188
1. What is the LCM of 946, 420, 990, 188?
Answer: LCM of 946, 420, 990, 188 is 28011060.
2. How to calculate the LCM of 946, 420, 990, 188?
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 946, 420, 990, 188.
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}.