Find the LCM of 681, 460, 504, 476 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 681, 460, 504, 476. So, keep reading to learn more.
Given numbers are 681,460,504,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,460,504,476 is 223667640.
Find LCM of 681,460,504,476 with Prime Factorization
2 | 681, 460, 504, 476 |
2 | 681, 230, 252, 238 |
3 | 681, 115, 126, 119 |
7 | 227, 115, 42, 119 |
227, 115, 6, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 227 x 115 x 6 x 17 = 223667640
Therefore, the lowest common multiple of 681,460,504,476 is 223667640.
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.
681 x 460 x 504 x 476 = 75152327040
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.
681 : 1, 3, 227, 681
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,460,504,476, is 1.
Now, the common factors can be found like this.
681:3x 227
460:2x 2x 5x 23
504:2x 2x 2x 3x 3x 7
476:2x 2x 7x 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 7 = 336
Therefore, the value for common factors is 336.
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 = 75152327040/(1x336)
LCM = 75152327040/336
LCM = 223667640
Thus, we can understand that the LCM of 681,460,504,476 is 223667640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 460, 504, 476?
Answer: LCM of 681, 460, 504, 476 is 223667640.
2. How to calculate the LCM of 681, 460, 504, 476?
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 681, 460, 504, 476.
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}.