LCM of 378, 741, 464, 418, 267
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 741, 464, 418, 267 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 378, 741, 464, 418, 267. So, keep reading to learn more.
Given numbers are 378,741,464,418,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,741,464,418,267 is 21206032848.
Find LCM of 378,741,464,418,267 with Prime Factorization
| 2 | 378, 741, 464, 418, 267 |
| 3 | 189, 741, 232, 209, 267 |
| 19 | 63, 247, 232, 209, 89 |
| 63, 13, 232, 11, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 63 x 13 x 232 x 11 x 89 = 21206032848
Therefore, the lowest common multiple of 378,741,464,418,267 is 21206032848.
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.
378 x 741 x 464 x 418 x 267 = 14504926468032
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
741 : 1, 3, 13, 19, 39, 57, 247, 741
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
418 : 1, 2, 11, 19, 22, 38, 209, 418
267 : 1, 3, 89, 267
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,741,464,418,267, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
741:3x 13x 19
464:2x 2x 2x 2x 29
418:2x 11x 19
267:3x 89
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 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 14504926468032/(1x684)
LCM = 14504926468032/684
LCM = 21206032848
Thus, we can understand that the LCM of 378,741,464,418,267 is 21206032848.
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FAQs on LCM of 378, 741, 464, 418, 267
1. What is the LCM of 378, 741, 464, 418, 267?
Answer: LCM of 378, 741, 464, 418, 267 is 21206032848.
2. How to calculate the LCM of 378, 741, 464, 418, 267?
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 378, 741, 464, 418, 267.
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}.