LCM of 755, 755, 384, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 755, 384, 678 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, 755, 384, 678. So, keep reading to learn more.
Given numbers are 755,755,384,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,755,384,678 is 32760960.
Find LCM of 755,755,384,678 with Prime Factorization
| 2 | 755, 755, 384, 678 |
| 3 | 755, 755, 192, 339 |
| 5 | 755, 755, 64, 113 |
| 151 | 151, 151, 64, 113 |
| 1, 1, 64, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 151 x 1 x 1 x 64 x 113 = 32760960
Therefore, the lowest common multiple of 755,755,384,678 is 32760960.
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 755 x 384 x 678 = 148407148800
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
755 : 1, 5, 151, 755
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,755,384,678, is 1.
Now, the common factors can be found like this.
755:5x 151
755:5x 151
384:2x 2x 2x 2x 2x 2x 2x 3
678:2x 3x 113
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 151 = 4530
Therefore, the value for common factors is 4530.
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 = 148407148800/(1x4530)
LCM = 148407148800/4530
LCM = 32760960
Thus, we can understand that the LCM of 755,755,384,678 is 32760960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 755, 755, 384, 678
1. What is the LCM of 755, 755, 384, 678?
Answer: LCM of 755, 755, 384, 678 is 32760960.
2. How to calculate the LCM of 755, 755, 384, 678?
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, 755, 384, 678.
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}.