LCM of 914, 152, 432, 135, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 152, 432, 135, 382 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 914, 152, 432, 135, 382. So, keep reading to learn more.
Given numbers are 914,152,432,135,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,152,432,135,382 is 3582258480.
Find LCM of 914,152,432,135,382 with Prime Factorization
| 2 | 914, 152, 432, 135, 382 |
| 2 | 457, 76, 216, 135, 191 |
| 2 | 457, 38, 108, 135, 191 |
| 3 | 457, 19, 54, 135, 191 |
| 3 | 457, 19, 18, 45, 191 |
| 3 | 457, 19, 6, 15, 191 |
| 457, 19, 2, 5, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 457 x 19 x 2 x 5 x 191 = 3582258480
Therefore, the lowest common multiple of 914,152,432,135,382 is 3582258480.
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.
914 x 152 x 432 x 135 x 382 = 3095071326720
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.
914 : 1, 2, 457, 914
152 : 1, 2, 4, 8, 19, 38, 76, 152
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
135 : 1, 3, 5, 9, 15, 27, 45, 135
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,152,432,135,382, is 1.
Now, the common factors can be found like this.
914:2x 457
152:2x 2x 2x 19
432:2x 2x 2x 2x 3x 3x 3
135:3x 3x 3x 5
382:2x 191
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 3095071326720/(1x864)
LCM = 3095071326720/864
LCM = 3582258480
Thus, we can understand that the LCM of 914,152,432,135,382 is 3582258480.
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FAQs on LCM of 914, 152, 432, 135, 382
1. What is the LCM of 914, 152, 432, 135, 382?
Answer: LCM of 914, 152, 432, 135, 382 is 3582258480.
2. How to calculate the LCM of 914, 152, 432, 135, 382?
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 914, 152, 432, 135, 382.
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}.