Find the LCM of 532, 754, 484, 125, 406 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 532, 754, 484, 125, 406. So, keep reading to learn more.
Given numbers are 532,754,484,125,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,754,484,125,406 is 3033530500.
Find LCM of 532,754,484,125,406 with Prime Factorization
2 | 532, 754, 484, 125, 406 |
2 | 266, 377, 242, 125, 203 |
7 | 133, 377, 121, 125, 203 |
29 | 19, 377, 121, 125, 29 |
19, 13, 121, 125, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 19 x 13 x 121 x 125 x 1 = 3033530500
Therefore, the lowest common multiple of 532,754,484,125,406 is 3033530500.
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.
532 x 754 x 484 x 125 x 406 = 9852907064000
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
754 : 1, 2, 13, 26, 29, 58, 377, 754
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
125 : 1, 5, 25, 125
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,754,484,125,406, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
754:2x 13x 29
484:2x 2x 11x 11
125:5x 5x 5
406:2x 7x 29
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 7x 29 = 3248
Therefore, the value for common factors is 3248.
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 = 9852907064000/(1x3248)
LCM = 9852907064000/3248
LCM = 3033530500
Thus, we can understand that the LCM of 532,754,484,125,406 is 3033530500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 754, 484, 125, 406?
Answer: LCM of 532, 754, 484, 125, 406 is 3033530500.
2. How to calculate the LCM of 532, 754, 484, 125, 406?
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 532, 754, 484, 125, 406.
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}.