LCM of 906, 410, 500, 963, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 410, 500, 963, 614 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, 410, 500, 963, 614. So, keep reading to learn more.
Given numbers are 906,410,500,963,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,410,500,963,614 is 915156715500.
Find LCM of 906,410,500,963,614 with Prime Factorization
| 2 | 906, 410, 500, 963, 614 |
| 3 | 453, 205, 250, 963, 307 |
| 5 | 151, 205, 250, 321, 307 |
| 151, 41, 50, 321, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 151 x 41 x 50 x 321 x 307 = 915156715500
Therefore, the lowest common multiple of 906,410,500,963,614 is 915156715500.
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 410 x 500 x 963 x 614 = 109818805860000
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
410 : 1, 2, 5, 10, 41, 82, 205, 410
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
963 : 1, 3, 9, 107, 321, 963
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,410,500,963,614, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
410:2x 5x 41
500:2x 2x 5x 5x 5
963:3x 3x 107
614:2x 307
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 109818805860000/(1x120)
LCM = 109818805860000/120
LCM = 915156715500
Thus, we can understand that the LCM of 906,410,500,963,614 is 915156715500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 410, 500, 963, 614
1. What is the LCM of 906, 410, 500, 963, 614?
Answer: LCM of 906, 410, 500, 963, 614 is 915156715500.
2. How to calculate the LCM of 906, 410, 500, 963, 614?
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, 410, 500, 963, 614.
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}.