LCM of 671, 484, 528, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 484, 528, 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 671, 484, 528, 432. So, keep reading to learn more.
Given numbers are 671,484,528,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,484,528,432 is 3188592.
Find LCM of 671,484,528,432 with Prime Factorization
| 2 | 671, 484, 528, 432 |
| 2 | 671, 242, 264, 216 |
| 2 | 671, 121, 132, 108 |
| 2 | 671, 121, 66, 54 |
| 3 | 671, 121, 33, 27 |
| 11 | 671, 121, 11, 9 |
| 61, 1, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 61 x 1 x 11 x 9 = 3188592
Therefore, the lowest common multiple of 671,484,528,432 is 3188592.
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.
671 x 484 x 528 x 432 = 74077369344
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.
671 : 1, 11, 61, 671
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,484,528,432, is 1.
Now, the common factors can be found like this.
671:11x 61
484:2x 2x 11x 11
528:2x 2x 2x 2x 3x 11
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 2x 2x 2x 2x 3x 11x 11 = 23232
Therefore, the value for common factors is 23232.
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 = 74077369344/(1x23232)
LCM = 74077369344/23232
LCM = 3188592
Thus, we can understand that the LCM of 671,484,528,432 is 3188592.
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FAQs on LCM of 671, 484, 528, 432
1. What is the LCM of 671, 484, 528, 432?
Answer: LCM of 671, 484, 528, 432 is 3188592.
2. How to calculate the LCM of 671, 484, 528, 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 671, 484, 528, 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}.