LCM of 650, 916, 600, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 916, 600, 806 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 650, 916, 600, 806. So, keep reading to learn more.
Given numbers are 650,916,600,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,916,600,806 is 55372200.
Find LCM of 650,916,600,806 with Prime Factorization
| 2 | 650, 916, 600, 806 |
| 2 | 325, 458, 300, 403 |
| 5 | 325, 229, 150, 403 |
| 5 | 65, 229, 30, 403 |
| 13 | 13, 229, 6, 403 |
| 1, 229, 6, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 13 x 1 x 229 x 6 x 31 = 55372200
Therefore, the lowest common multiple of 650,916,600,806 is 55372200.
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.
650 x 916 x 600 x 806 = 287935440000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
916 : 1, 2, 4, 229, 458, 916
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
806 : 1, 2, 13, 26, 31, 62, 403, 806
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,916,600,806, is 2.
Now, the common factors can be found like this.
650:2x 5x 5x 13
916:2x 2x 229
600:2x 2x 2x 3x 5x 5
806:2x 13x 31
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 5x 5x 13 = 2600
Therefore, the value for common factors is 2600.
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 = 287935440000/(2x2600)
LCM = 287935440000/5200
LCM = 55372200
Thus, we can understand that the LCM of 650,916,600,806 is 55372200.
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FAQs on LCM of 650, 916, 600, 806
1. What is the LCM of 650, 916, 600, 806?
Answer: LCM of 650, 916, 600, 806 is 55372200.
2. How to calculate the LCM of 650, 916, 600, 806?
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 650, 916, 600, 806.
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}.