LCM of 859, 198, 462, 880, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 198, 462, 880, 576 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 859, 198, 462, 880, 576. So, keep reading to learn more.
Given numbers are 859,198,462,880,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,198,462,880,576 is 190491840.
Find LCM of 859,198,462,880,576 with Prime Factorization
| 2 | 859, 198, 462, 880, 576 |
| 2 | 859, 99, 231, 440, 288 |
| 2 | 859, 99, 231, 220, 144 |
| 2 | 859, 99, 231, 110, 72 |
| 3 | 859, 99, 231, 55, 36 |
| 3 | 859, 33, 77, 55, 12 |
| 11 | 859, 11, 77, 55, 4 |
| 859, 1, 7, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 11 x 859 x 1 x 7 x 5 x 4 = 190491840
Therefore, the lowest common multiple of 859,198,462,880,576 is 190491840.
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.
859 x 198 x 462 x 880 x 576 = 39829557841920
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.
859 : 1, 859
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,198,462,880,576, is 1.
Now, the common factors can be found like this.
859:859
198:2x 3x 3x 11
462:2x 3x 7x 11
880:2x 2x 2x 2x 5x 11
576:2x 2x 2x 2x 2x 2x 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 11x 11 = 209088
Therefore, the value for common factors is 209088.
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 = 39829557841920/(1x209088)
LCM = 39829557841920/209088
LCM = 190491840
Thus, we can understand that the LCM of 859,198,462,880,576 is 190491840.
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FAQs on LCM of 859, 198, 462, 880, 576
1. What is the LCM of 859, 198, 462, 880, 576?
Answer: LCM of 859, 198, 462, 880, 576 is 190491840.
2. How to calculate the LCM of 859, 198, 462, 880, 576?
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 859, 198, 462, 880, 576.
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}.