LCM of 189, 504, 678, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 504, 678, 423 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 189, 504, 678, 423. So, keep reading to learn more.
Given numbers are 189,504,678,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,504,678,423 is 8030232.
Find LCM of 189,504,678,423 with Prime Factorization
| 2 | 189, 504, 678, 423 |
| 3 | 189, 252, 339, 423 |
| 3 | 63, 84, 113, 141 |
| 7 | 21, 28, 113, 47 |
| 3, 4, 113, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 3 x 4 x 113 x 47 = 8030232
Therefore, the lowest common multiple of 189,504,678,423 is 8030232.
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.
189 x 504 x 678 x 423 = 27318849264
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
678 : 1, 2, 3, 6, 113, 226, 339, 678
423 : 1, 3, 9, 47, 141, 423
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,504,678,423, is 3.
Now, the common factors can be found like this.
189:3x 3x 3x 7
504:2x 2x 2x 3x 3x 7
678:2x 3x 113
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7 = 1134
Therefore, the value for common factors is 1134.
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 = 27318849264/(3x1134)
LCM = 27318849264/3402
LCM = 8030232
Thus, we can understand that the LCM of 189,504,678,423 is 8030232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 189, 504, 678, 423
1. What is the LCM of 189, 504, 678, 423?
Answer: LCM of 189, 504, 678, 423 is 8030232.
2. How to calculate the LCM of 189, 504, 678, 423?
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 189, 504, 678, 423.
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}.