LCM of 856, 808, 535, 825, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 808, 535, 825, 410 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 856, 808, 535, 825, 410. So, keep reading to learn more.
Given numbers are 856,808,535,825,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,808,535,825,410 is 2924374200.
Find LCM of 856,808,535,825,410 with Prime Factorization
| 2 | 856, 808, 535, 825, 410 |
| 2 | 428, 404, 535, 825, 205 |
| 2 | 214, 202, 535, 825, 205 |
| 5 | 107, 101, 535, 825, 205 |
| 107 | 107, 101, 107, 165, 41 |
| 1, 101, 1, 165, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 107 x 1 x 101 x 1 x 165 x 41 = 2924374200
Therefore, the lowest common multiple of 856,808,535,825,410 is 2924374200.
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.
856 x 808 x 535 x 825 x 410 = 125163215760000
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
808 : 1, 2, 4, 8, 101, 202, 404, 808
535 : 1, 5, 107, 535
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,808,535,825,410, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
808:2x 2x 2x 101
535:5x 107
825:3x 5x 5x 11
410:2x 5x 41
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 5x 5x 107 = 42800
Therefore, the value for common factors is 42800.
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 = 125163215760000/(1x42800)
LCM = 125163215760000/42800
LCM = 2924374200
Thus, we can understand that the LCM of 856,808,535,825,410 is 2924374200.
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FAQs on LCM of 856, 808, 535, 825, 410
1. What is the LCM of 856, 808, 535, 825, 410?
Answer: LCM of 856, 808, 535, 825, 410 is 2924374200.
2. How to calculate the LCM of 856, 808, 535, 825, 410?
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 856, 808, 535, 825, 410.
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}.