LCM of 220, 576, 984, 622, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 576, 984, 622, 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 220, 576, 984, 622, 946. So, keep reading to learn more.
Given numbers are 220,576,984,622,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,576,984,622,946 is 17369922240.
Find LCM of 220,576,984,622,946 with Prime Factorization
| 2 | 220, 576, 984, 622, 946 |
| 2 | 110, 288, 492, 311, 473 |
| 2 | 55, 144, 246, 311, 473 |
| 3 | 55, 72, 123, 311, 473 |
| 11 | 55, 24, 41, 311, 473 |
| 5, 24, 41, 311, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 5 x 24 x 41 x 311 x 43 = 17369922240
Therefore, the lowest common multiple of 220,576,984,622,946 is 17369922240.
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.
220 x 576 x 984 x 622 x 946 = 73370551541760
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
622 : 1, 2, 311, 622
946 : 1, 2, 11, 22, 43, 86, 473, 946
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,576,984,622,946, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
576:2x 2x 2x 2x 2x 2x 3x 3
984:2x 2x 2x 3x 41
622:2x 311
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 2x 2x 2x 2x 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 73370551541760/(2x2112)
LCM = 73370551541760/4224
LCM = 17369922240
Thus, we can understand that the LCM of 220,576,984,622,946 is 17369922240.
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FAQs on LCM of 220, 576, 984, 622, 946
1. What is the LCM of 220, 576, 984, 622, 946?
Answer: LCM of 220, 576, 984, 622, 946 is 17369922240.
2. How to calculate the LCM of 220, 576, 984, 622, 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 220, 576, 984, 622, 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}.