LCM of 643, 905, 897, 660, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 905, 897, 660, 800 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, 905, 897, 660, 800. So, keep reading to learn more.
Given numbers are 643,905,897,660,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,905,897,660,800 is 918680848800.
Find LCM of 643,905,897,660,800 with Prime Factorization
| 2 | 643, 905, 897, 660, 800 |
| 2 | 643, 905, 897, 330, 400 |
| 3 | 643, 905, 897, 165, 200 |
| 5 | 643, 905, 299, 55, 200 |
| 643, 181, 299, 11, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 643 x 181 x 299 x 11 x 40 = 918680848800
Therefore, the lowest common multiple of 643,905,897,660,800 is 918680848800.
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 905 x 897 x 660 x 800 = 275604254640000
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
905 : 1, 5, 181, 905
897 : 1, 3, 13, 23, 39, 69, 299, 897
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,905,897,660,800, is 1.
Now, the common factors can be found like this.
643:643
905:5x 181
897:3x 13x 23
660:2x 2x 3x 5x 11
800:2x 2x 2x 2x 2x 5x 5
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 275604254640000/(1x300)
LCM = 275604254640000/300
LCM = 918680848800
Thus, we can understand that the LCM of 643,905,897,660,800 is 918680848800.
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FAQs on LCM of 643, 905, 897, 660, 800
1. What is the LCM of 643, 905, 897, 660, 800?
Answer: LCM of 643, 905, 897, 660, 800 is 918680848800.
2. How to calculate the LCM of 643, 905, 897, 660, 800?
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, 905, 897, 660, 800.
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}.