LCM of 600, 409, 105, 374, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 409, 105, 374, 833 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 600, 409, 105, 374, 833. So, keep reading to learn more.
Given numbers are 600,409,105,374,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,409,105,374,833 is 2248600200.
Find LCM of 600,409,105,374,833 with Prime Factorization
| 2 | 600, 409, 105, 374, 833 |
| 3 | 300, 409, 105, 187, 833 |
| 5 | 100, 409, 35, 187, 833 |
| 7 | 20, 409, 7, 187, 833 |
| 17 | 20, 409, 1, 187, 119 |
| 20, 409, 1, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 20 x 409 x 1 x 11 x 7 = 2248600200
Therefore, the lowest common multiple of 600,409,105,374,833 is 2248600200.
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.
600 x 409 x 105 x 374 x 833 = 8027502714000
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.
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
409 : 1, 409
105 : 1, 3, 5, 7, 15, 21, 35, 105
374 : 1, 2, 11, 17, 22, 34, 187, 374
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,409,105,374,833, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
409:409
105:3x 5x 7
374:2x 11x 17
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 17 = 3570
Therefore, the value for common factors is 3570.
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 = 8027502714000/(1x3570)
LCM = 8027502714000/3570
LCM = 2248600200
Thus, we can understand that the LCM of 600,409,105,374,833 is 2248600200.
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FAQs on LCM of 600, 409, 105, 374, 833
1. What is the LCM of 600, 409, 105, 374, 833?
Answer: LCM of 600, 409, 105, 374, 833 is 2248600200.
2. How to calculate the LCM of 600, 409, 105, 374, 833?
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 600, 409, 105, 374, 833.
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}.