LCM of 494, 972, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 972, 432 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 494, 972, 432. So, keep reading to learn more.
Given numbers are 494,972,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,972,432 is 960336.
Find LCM of 494,972,432 with Prime Factorization
| 2 | 494, 972, 432 |
| 2 | 247, 486, 216 |
| 3 | 247, 243, 108 |
| 3 | 247, 81, 36 |
| 3 | 247, 27, 12 |
| 247, 9, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 247 x 9 x 4 = 960336
Therefore, the lowest common multiple of 494,972,432 is 960336.
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.
494 x 972 x 432 = 207432576
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,972,432, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
972:2x 2x 3x 3x 3x 3x 3
432:2x 2x 2x 2x 3x 3x 3
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 3 = 108
Therefore, the value for common factors is 108.
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 = 207432576/(2x108)
LCM = 207432576/216
LCM = 960336
Thus, we can understand that the LCM of 494,972,432 is 960336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 494, 972, 432
1. What is the LCM of 494, 972, 432?
Answer: LCM of 494, 972, 432 is 960336.
2. How to calculate the LCM of 494, 972, 432?
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 494, 972, 432.
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}.