LCM of 814, 450, 303, 705, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 450, 303, 705, 384 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 814, 450, 303, 705, 384. So, keep reading to learn more.
Given numbers are 814,450,303,705,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,450,303,705,384 is 55642435200.
Find LCM of 814,450,303,705,384 with Prime Factorization
| 2 | 814, 450, 303, 705, 384 |
| 3 | 407, 225, 303, 705, 192 |
| 5 | 407, 75, 101, 235, 64 |
| 407, 15, 101, 47, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 407 x 15 x 101 x 47 x 64 = 55642435200
Therefore, the lowest common multiple of 814,450,303,705,384 is 55642435200.
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.
814 x 450 x 303 x 705 x 384 = 30046915008000
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
303 : 1, 3, 101, 303
705 : 1, 3, 5, 15, 47, 141, 235, 705
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,450,303,705,384, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
450:2x 3x 3x 5x 5
303:3x 101
705:3x 5x 47
384:2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 30046915008000/(1x540)
LCM = 30046915008000/540
LCM = 55642435200
Thus, we can understand that the LCM of 814,450,303,705,384 is 55642435200.
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FAQs on LCM of 814, 450, 303, 705, 384
1. What is the LCM of 814, 450, 303, 705, 384?
Answer: LCM of 814, 450, 303, 705, 384 is 55642435200.
2. How to calculate the LCM of 814, 450, 303, 705, 384?
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 814, 450, 303, 705, 384.
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}.