LCM of 406, 528, 534, 986, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 528, 534, 986, 204 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 406, 528, 534, 986, 204. So, keep reading to learn more.
Given numbers are 406,528,534,986,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,528,534,986,204 is 162169392.
Find LCM of 406,528,534,986,204 with Prime Factorization
| 2 | 406, 528, 534, 986, 204 |
| 2 | 203, 264, 267, 493, 102 |
| 3 | 203, 132, 267, 493, 51 |
| 17 | 203, 44, 89, 493, 17 |
| 29 | 203, 44, 89, 29, 1 |
| 7, 44, 89, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 29 x 7 x 44 x 89 x 1 x 1 = 162169392
Therefore, the lowest common multiple of 406,528,534,986,204 is 162169392.
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.
406 x 528 x 534 x 986 x 204 = 23025458953728
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
534 : 1, 2, 3, 6, 89, 178, 267, 534
986 : 1, 2, 17, 29, 34, 58, 493, 986
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,528,534,986,204, is 2.
Now, the common factors can be found like this.
406:2x 7x 29
528:2x 2x 2x 2x 3x 11
534:2x 3x 89
986:2x 17x 29
204:2x 2x 3x 17
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 3x 3x 17x 29 = 70992
Therefore, the value for common factors is 70992.
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 = 23025458953728/(2x70992)
LCM = 23025458953728/141984
LCM = 162169392
Thus, we can understand that the LCM of 406,528,534,986,204 is 162169392.
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FAQs on LCM of 406, 528, 534, 986, 204
1. What is the LCM of 406, 528, 534, 986, 204?
Answer: LCM of 406, 528, 534, 986, 204 is 162169392.
2. How to calculate the LCM of 406, 528, 534, 986, 204?
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 406, 528, 534, 986, 204.
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}.