LCM of 573, 874, 675, 800, 643
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 874, 675, 800, 643 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 573, 874, 675, 800, 643. So, keep reading to learn more.
Given numbers are 573,874,675,800,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,874,675,800,643 is 1159256469600.
Find LCM of 573,874,675,800,643 with Prime Factorization
| 2 | 573, 874, 675, 800, 643 |
| 3 | 573, 437, 675, 400, 643 |
| 5 | 191, 437, 225, 400, 643 |
| 5 | 191, 437, 45, 80, 643 |
| 191, 437, 9, 16, 643 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 191 x 437 x 9 x 16 x 643 = 1159256469600
Therefore, the lowest common multiple of 573,874,675,800,643 is 1159256469600.
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.
573 x 874 x 675 x 800 x 643 = 173888470440000
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.
573 : 1, 3, 191, 573
874 : 1, 2, 19, 23, 38, 46, 437, 874
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,874,675,800,643, is 1.
Now, the common factors can be found like this.
573:3x 191
874:2x 19x 23
675:3x 3x 3x 5x 5
800:2x 2x 2x 2x 2x 5x 5
643:643
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 173888470440000/(1x150)
LCM = 173888470440000/150
LCM = 1159256469600
Thus, we can understand that the LCM of 573,874,675,800,643 is 1159256469600.
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FAQs on LCM of 573, 874, 675, 800, 643
1. What is the LCM of 573, 874, 675, 800, 643?
Answer: LCM of 573, 874, 675, 800, 643 is 1159256469600.
2. How to calculate the LCM of 573, 874, 675, 800, 643?
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 573, 874, 675, 800, 643.
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}.