LCM of 606, 504, 400, 262, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 504, 400, 262, 821 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 606, 504, 400, 262, 821. So, keep reading to learn more.
Given numbers are 606,504,400,262,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,504,400,262,821 is 273738805200.
Find LCM of 606,504,400,262,821 with Prime Factorization
| 2 | 606, 504, 400, 262, 821 |
| 2 | 303, 252, 200, 131, 821 |
| 2 | 303, 126, 100, 131, 821 |
| 3 | 303, 63, 50, 131, 821 |
| 101, 21, 50, 131, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 21 x 50 x 131 x 821 = 273738805200
Therefore, the lowest common multiple of 606,504,400,262,821 is 273738805200.
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.
606 x 504 x 400 x 262 x 821 = 26278925299200
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
262 : 1, 2, 131, 262
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,504,400,262,821, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
504:2x 2x 2x 3x 3x 7
400:2x 2x 2x 2x 5x 5
262:2x 131
821:821
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 26278925299200/(1x96)
LCM = 26278925299200/96
LCM = 273738805200
Thus, we can understand that the LCM of 606,504,400,262,821 is 273738805200.
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FAQs on LCM of 606, 504, 400, 262, 821
1. What is the LCM of 606, 504, 400, 262, 821?
Answer: LCM of 606, 504, 400, 262, 821 is 273738805200.
2. How to calculate the LCM of 606, 504, 400, 262, 821?
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 606, 504, 400, 262, 821.
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}.