LCM of 892, 446, 487, 435, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 446, 487, 435, 504 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 892, 446, 487, 435, 504. So, keep reading to learn more.
Given numbers are 892,446,487,435,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,446,487,435,504 is 7936561080.
Find LCM of 892,446,487,435,504 with Prime Factorization
| 2 | 892, 446, 487, 435, 504 |
| 2 | 446, 223, 487, 435, 252 |
| 3 | 223, 223, 487, 435, 126 |
| 223 | 223, 223, 487, 145, 42 |
| 1, 1, 487, 145, 42 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 223 x 1 x 1 x 487 x 145 x 42 = 7936561080
Therefore, the lowest common multiple of 892,446,487,435,504 is 7936561080.
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.
892 x 446 x 487 x 435 x 504 = 42476474900160
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.
892 : 1, 2, 4, 223, 446, 892
446 : 1, 2, 223, 446
487 : 1, 487
435 : 1, 3, 5, 15, 29, 87, 145, 435
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,446,487,435,504, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
446:2x 223
487:487
435:3x 5x 29
504:2x 2x 2x 3x 3x 7
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 3x 223 = 5352
Therefore, the value for common factors is 5352.
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 = 42476474900160/(1x5352)
LCM = 42476474900160/5352
LCM = 7936561080
Thus, we can understand that the LCM of 892,446,487,435,504 is 7936561080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 892, 446, 487, 435, 504
1. What is the LCM of 892, 446, 487, 435, 504?
Answer: LCM of 892, 446, 487, 435, 504 is 7936561080.
2. How to calculate the LCM of 892, 446, 487, 435, 504?
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 892, 446, 487, 435, 504.
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}.