LCM of 382, 357, 216, 904, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 357, 216, 904, 378 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 382, 357, 216, 904, 378. So, keep reading to learn more.
Given numbers are 382,357,216,904,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,357,216,904,378 is 554769432.
Find LCM of 382,357,216,904,378 with Prime Factorization
| 2 | 382, 357, 216, 904, 378 |
| 2 | 191, 357, 108, 452, 189 |
| 2 | 191, 357, 54, 226, 189 |
| 3 | 191, 357, 27, 113, 189 |
| 3 | 191, 119, 9, 113, 63 |
| 3 | 191, 119, 3, 113, 21 |
| 7 | 191, 119, 1, 113, 7 |
| 191, 17, 1, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 7 x 191 x 17 x 1 x 113 x 1 = 554769432
Therefore, the lowest common multiple of 382,357,216,904,378 is 554769432.
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.
382 x 357 x 216 x 904 x 378 = 10065736574208
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.
382 : 1, 2, 191, 382
357 : 1, 3, 7, 17, 21, 51, 119, 357
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
904 : 1, 2, 4, 8, 113, 226, 452, 904
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,357,216,904,378, is 1.
Now, the common factors can be found like this.
382:2x 191
357:3x 7x 17
216:2x 2x 2x 3x 3x 3
904:2x 2x 2x 113
378:2x 3x 3x 3x 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 2x 2x 2x 3x 3x 3x 3x 7 = 18144
Therefore, the value for common factors is 18144.
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 = 10065736574208/(1x18144)
LCM = 10065736574208/18144
LCM = 554769432
Thus, we can understand that the LCM of 382,357,216,904,378 is 554769432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 357, 216, 904, 378
1. What is the LCM of 382, 357, 216, 904, 378?
Answer: LCM of 382, 357, 216, 904, 378 is 554769432.
2. How to calculate the LCM of 382, 357, 216, 904, 378?
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 382, 357, 216, 904, 378.
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}.