LCM of 351, 420, 458, 800, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 420, 458, 800, 850 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 351, 420, 458, 800, 850. So, keep reading to learn more.
Given numbers are 351,420,458,800,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,420,458,800,850 is 7652080800.
Find LCM of 351,420,458,800,850 with Prime Factorization
| 2 | 351, 420, 458, 800, 850 |
| 2 | 351, 210, 229, 400, 425 |
| 3 | 351, 105, 229, 200, 425 |
| 5 | 117, 35, 229, 200, 425 |
| 5 | 117, 7, 229, 40, 85 |
| 117, 7, 229, 8, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 117 x 7 x 229 x 8 x 17 = 7652080800
Therefore, the lowest common multiple of 351,420,458,800,850 is 7652080800.
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.
351 x 420 x 458 x 800 x 850 = 45912484800000
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
458 : 1, 2, 229, 458
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,420,458,800,850, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
420:2x 2x 3x 5x 7
458:2x 229
800:2x 2x 2x 2x 2x 5x 5
850:2x 5x 5x 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 2x 2x 2x 3x 5x 5x 5 = 6000
Therefore, the value for common factors is 6000.
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 = 45912484800000/(1x6000)
LCM = 45912484800000/6000
LCM = 7652080800
Thus, we can understand that the LCM of 351,420,458,800,850 is 7652080800.
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FAQs on LCM of 351, 420, 458, 800, 850
1. What is the LCM of 351, 420, 458, 800, 850?
Answer: LCM of 351, 420, 458, 800, 850 is 7652080800.
2. How to calculate the LCM of 351, 420, 458, 800, 850?
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 351, 420, 458, 800, 850.
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}.