LCM of 800, 410, 541, 303, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 410, 541, 303, 870 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 800, 410, 541, 303, 870. So, keep reading to learn more.
Given numbers are 800,410,541,303,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,410,541,303,870 is 155923557600.
Find LCM of 800,410,541,303,870 with Prime Factorization
| 2 | 800, 410, 541, 303, 870 |
| 3 | 400, 205, 541, 303, 435 |
| 5 | 400, 205, 541, 101, 145 |
| 80, 41, 541, 101, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 80 x 41 x 541 x 101 x 29 = 155923557600
Therefore, the lowest common multiple of 800,410,541,303,870 is 155923557600.
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.
800 x 410 x 541 x 303 x 870 = 46777067280000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
410 : 1, 2, 5, 10, 41, 82, 205, 410
541 : 1, 541
303 : 1, 3, 101, 303
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,410,541,303,870, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
410:2x 5x 41
541:541
303:3x 101
870:2x 3x 5x 29
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 = 46777067280000/(1x300)
LCM = 46777067280000/300
LCM = 155923557600
Thus, we can understand that the LCM of 800,410,541,303,870 is 155923557600.
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FAQs on LCM of 800, 410, 541, 303, 870
1. What is the LCM of 800, 410, 541, 303, 870?
Answer: LCM of 800, 410, 541, 303, 870 is 155923557600.
2. How to calculate the LCM of 800, 410, 541, 303, 870?
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 800, 410, 541, 303, 870.
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}.