LCM of 643, 638, 231, 220, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 638, 231, 220, 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 643, 638, 231, 220, 576. So, keep reading to learn more.
Given numbers are 643,638,231,220,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,638,231,220,576 is 4135158720.
Find LCM of 643,638,231,220,576 with Prime Factorization
| 2 | 643, 638, 231, 220, 576 |
| 2 | 643, 319, 231, 110, 288 |
| 3 | 643, 319, 231, 55, 144 |
| 11 | 643, 319, 77, 55, 48 |
| 643, 29, 7, 5, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 643 x 29 x 7 x 5 x 48 = 4135158720
Therefore, the lowest common multiple of 643,638,231,220,576 is 4135158720.
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.
643 x 638 x 231 x 220 x 576 = 12008500922880
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.
643 : 1, 643
638 : 1, 2, 11, 22, 29, 58, 319, 638
231 : 1, 3, 7, 11, 21, 33, 77, 231
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,638,231,220,576, is 1.
Now, the common factors can be found like this.
643:643
638:2x 11x 29
231:3x 7x 11
220:2x 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 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 12008500922880/(1x2904)
LCM = 12008500922880/2904
LCM = 4135158720
Thus, we can understand that the LCM of 643,638,231,220,576 is 4135158720.
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FAQs on LCM of 643, 638, 231, 220, 576
1. What is the LCM of 643, 638, 231, 220, 576?
Answer: LCM of 643, 638, 231, 220, 576 is 4135158720.
2. How to calculate the LCM of 643, 638, 231, 220, 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 643, 638, 231, 220, 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}.