LCM of 482, 572, 606, 977, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 572, 606, 977, 364 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 482, 572, 606, 977, 364. So, keep reading to learn more.
Given numbers are 482,572,606,977,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,572,606,977,364 is 285659257884.
Find LCM of 482,572,606,977,364 with Prime Factorization
| 2 | 482, 572, 606, 977, 364 |
| 2 | 241, 286, 303, 977, 182 |
| 13 | 241, 143, 303, 977, 91 |
| 241, 11, 303, 977, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 241 x 11 x 303 x 977 x 7 = 285659257884
Therefore, the lowest common multiple of 482,572,606,977,364 is 285659257884.
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.
482 x 572 x 606 x 977 x 364 = 59417125639872
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.
482 : 1, 2, 241, 482
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
606 : 1, 2, 3, 6, 101, 202, 303, 606
977 : 1, 977
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,572,606,977,364, is 1.
Now, the common factors can be found like this.
482:2x 241
572:2x 2x 11x 13
606:2x 3x 101
977:977
364:2x 2x 7x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 59417125639872/(1x208)
LCM = 59417125639872/208
LCM = 285659257884
Thus, we can understand that the LCM of 482,572,606,977,364 is 285659257884.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 482, 572, 606, 977, 364
1. What is the LCM of 482, 572, 606, 977, 364?
Answer: LCM of 482, 572, 606, 977, 364 is 285659257884.
2. How to calculate the LCM of 482, 572, 606, 977, 364?
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 482, 572, 606, 977, 364.
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}.