LCM of 842, 945, 378, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 945, 378, 414 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 842, 945, 378, 414. So, keep reading to learn more.
Given numbers are 842,945,378,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,945,378,414 is 18300870.
Find LCM of 842,945,378,414 with Prime Factorization
| 2 | 842, 945, 378, 414 |
| 3 | 421, 945, 189, 207 |
| 3 | 421, 315, 63, 69 |
| 3 | 421, 105, 21, 23 |
| 7 | 421, 35, 7, 23 |
| 421, 5, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 421 x 5 x 1 x 23 = 18300870
Therefore, the lowest common multiple of 842,945,378,414 is 18300870.
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.
842 x 945 x 378 x 414 = 124519119480
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.
842 : 1, 2, 421, 842
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,945,378,414, is 1.
Now, the common factors can be found like this.
842:2x 421
945:3x 3x 3x 5x 7
378:2x 3x 3x 3x 7
414:2x 3x 3x 23
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 3x 3x 3x 7 = 6804
Therefore, the value for common factors is 6804.
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 = 124519119480/(1x6804)
LCM = 124519119480/6804
LCM = 18300870
Thus, we can understand that the LCM of 842,945,378,414 is 18300870.
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FAQs on LCM of 842, 945, 378, 414
1. What is the LCM of 842, 945, 378, 414?
Answer: LCM of 842, 945, 378, 414 is 18300870.
2. How to calculate the LCM of 842, 945, 378, 414?
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 842, 945, 378, 414.
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}.