LCM of 240, 378, 238, 768, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 378, 238, 768, 164 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 240, 378, 238, 768, 164. So, keep reading to learn more.
Given numbers are 240,378,238,768,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,378,238,768,164 is 168618240.
Find LCM of 240,378,238,768,164 with Prime Factorization
| 2 | 240, 378, 238, 768, 164 |
| 2 | 120, 189, 119, 384, 82 |
| 2 | 60, 189, 119, 192, 41 |
| 2 | 30, 189, 119, 96, 41 |
| 3 | 15, 189, 119, 48, 41 |
| 7 | 5, 63, 119, 16, 41 |
| 5, 9, 17, 16, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 5 x 9 x 17 x 16 x 41 = 168618240
Therefore, the lowest common multiple of 240,378,238,768,164 is 168618240.
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.
240 x 378 x 238 x 768 x 164 = 2719474974720
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
238 : 1, 2, 7, 14, 17, 34, 119, 238
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
164 : 1, 2, 4, 41, 82, 164
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,378,238,768,164, is 2.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
378:2x 3x 3x 3x 7
238:2x 7x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
164:2x 2x 41
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 2x 2x 3x 3x 7 = 8064
Therefore, the value for common factors is 8064.
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 = 2719474974720/(2x8064)
LCM = 2719474974720/16128
LCM = 168618240
Thus, we can understand that the LCM of 240,378,238,768,164 is 168618240.
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FAQs on LCM of 240, 378, 238, 768, 164
1. What is the LCM of 240, 378, 238, 768, 164?
Answer: LCM of 240, 378, 238, 768, 164 is 168618240.
2. How to calculate the LCM of 240, 378, 238, 768, 164?
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 240, 378, 238, 768, 164.
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}.