LCM of 755, 321, 588, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 321, 588, 784 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 755, 321, 588, 784. So, keep reading to learn more.
Given numbers are 755,321,588,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,321,588,784 is 190006320.
Find LCM of 755,321,588,784 with Prime Factorization
| 2 | 755, 321, 588, 784 |
| 2 | 755, 321, 294, 392 |
| 3 | 755, 321, 147, 196 |
| 7 | 755, 107, 49, 196 |
| 7 | 755, 107, 7, 28 |
| 755, 107, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 755 x 107 x 1 x 4 = 190006320
Therefore, the lowest common multiple of 755,321,588,784 is 190006320.
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.
755 x 321 x 588 x 784 = 111723716160
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.
755 : 1, 5, 151, 755
321 : 1, 3, 107, 321
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,321,588,784, is 1.
Now, the common factors can be found like this.
755:5x 151
321:3x 107
588:2x 2x 3x 7x 7
784:2x 2x 2x 2x 7x 7
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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 111723716160/(1x588)
LCM = 111723716160/588
LCM = 190006320
Thus, we can understand that the LCM of 755,321,588,784 is 190006320.
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FAQs on LCM of 755, 321, 588, 784
1. What is the LCM of 755, 321, 588, 784?
Answer: LCM of 755, 321, 588, 784 is 190006320.
2. How to calculate the LCM of 755, 321, 588, 784?
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 755, 321, 588, 784.
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}.