LCM of 906, 308, 500, 589, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 308, 500, 589, 535 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 906, 308, 500, 589, 535. So, keep reading to learn more.
Given numbers are 906,308,500,589,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,308,500,589,535 is 1099152631500.
Find LCM of 906,308,500,589,535 with Prime Factorization
| 2 | 906, 308, 500, 589, 535 |
| 2 | 453, 154, 250, 589, 535 |
| 5 | 453, 77, 125, 589, 535 |
| 453, 77, 25, 589, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 453 x 77 x 25 x 589 x 107 = 1099152631500
Therefore, the lowest common multiple of 906,308,500,589,535 is 1099152631500.
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.
906 x 308 x 500 x 589 x 535 = 43966105260000
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
589 : 1, 19, 31, 589
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,308,500,589,535, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
308:2x 2x 7x 11
500:2x 2x 5x 5x 5
589:19x 31
535:5x 107
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 5 = 40
Therefore, the value for common factors is 40.
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 = 43966105260000/(1x40)
LCM = 43966105260000/40
LCM = 1099152631500
Thus, we can understand that the LCM of 906,308,500,589,535 is 1099152631500.
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FAQs on LCM of 906, 308, 500, 589, 535
1. What is the LCM of 906, 308, 500, 589, 535?
Answer: LCM of 906, 308, 500, 589, 535 is 1099152631500.
2. How to calculate the LCM of 906, 308, 500, 589, 535?
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 906, 308, 500, 589, 535.
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}.