LCM of 468, 414, 947, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 414, 947, 704 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 468, 414, 947, 704. So, keep reading to learn more.
Given numbers are 468,414,947,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,414,947,704 is 1794057408.
Find LCM of 468,414,947,704 with Prime Factorization
| 2 | 468, 414, 947, 704 |
| 2 | 234, 207, 947, 352 |
| 3 | 117, 207, 947, 176 |
| 3 | 39, 69, 947, 176 |
| 13, 23, 947, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 23 x 947 x 176 = 1794057408
Therefore, the lowest common multiple of 468,414,947,704 is 1794057408.
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.
468 x 414 x 947 x 704 = 129172133376
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
947 : 1, 947
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,414,947,704, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
414:2x 3x 3x 23
947:947
704:2x 2x 2x 2x 2x 2x 11
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 129172133376/(1x72)
LCM = 129172133376/72
LCM = 1794057408
Thus, we can understand that the LCM of 468,414,947,704 is 1794057408.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 468, 414, 947, 704
1. What is the LCM of 468, 414, 947, 704?
Answer: LCM of 468, 414, 947, 704 is 1794057408.
2. How to calculate the LCM of 468, 414, 947, 704?
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 468, 414, 947, 704.
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}.