Find the LCM of 573, 451, 697, 686 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 573, 451, 697, 686. So, keep reading to learn more.
Given numbers are 573,451,697,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,451,697,686 is 3013729026.
Find LCM of 573,451,697,686 with Prime Factorization
41 | 573, 451, 697, 686 |
573, 11, 17, 686 |
Multiply the prime numbers at the bottom and the left side.
41 x 573 x 11 x 17 x 686 = 3013729026
Therefore, the lowest common multiple of 573,451,697,686 is 3013729026.
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.
573 x 451 x 697 x 686 = 123562890066
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.
573 : 1, 3, 191, 573
451 : 1, 11, 41, 451
697 : 1, 17, 41, 697
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,451,697,686, is 1.
Now, the common factors can be found like this.
573:3x 191
451:11x 41
697:17x 41
686:2x 7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 123562890066/(1x41)
LCM = 123562890066/41
LCM = 3013729026
Thus, we can understand that the LCM of 573,451,697,686 is 3013729026.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 451, 697, 686?
Answer: LCM of 573, 451, 697, 686 is 3013729026.
2. How to calculate the LCM of 573, 451, 697, 686?
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 573, 451, 697, 686.
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}.