LCM of 484, 572, 169, 655, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 572, 169, 655, 828 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 484, 572, 169, 655, 828. So, keep reading to learn more.
Given numbers are 484,572,169,655,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,572,169,655,828 is 11090310660.
Find LCM of 484,572,169,655,828 with Prime Factorization
| 2 | 484, 572, 169, 655, 828 |
| 2 | 242, 286, 169, 655, 414 |
| 11 | 121, 143, 169, 655, 207 |
| 13 | 11, 13, 169, 655, 207 |
| 11, 1, 13, 655, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 11 x 1 x 13 x 655 x 207 = 11090310660
Therefore, the lowest common multiple of 484,572,169,655,828 is 11090310660.
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.
484 x 572 x 169 x 655 x 828 = 25374630790080
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
169 : 1, 13, 169
655 : 1, 5, 131, 655
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,572,169,655,828, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
572:2x 2x 11x 13
169:13x 13
655:5x 131
828:2x 2x 3x 3x 23
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 11x 13 = 2288
Therefore, the value for common factors is 2288.
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 = 25374630790080/(1x2288)
LCM = 25374630790080/2288
LCM = 11090310660
Thus, we can understand that the LCM of 484,572,169,655,828 is 11090310660.
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FAQs on LCM of 484, 572, 169, 655, 828
1. What is the LCM of 484, 572, 169, 655, 828?
Answer: LCM of 484, 572, 169, 655, 828 is 11090310660.
2. How to calculate the LCM of 484, 572, 169, 655, 828?
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 484, 572, 169, 655, 828.
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}.