Given numbers are 561,531,642,343

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 561,531,642,343 is 7288598394.

Find LCM of 561,531,642,343 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 187 x 177 x 214 x 343 = 7288598394

Therefore, the lowest common multiple of 561,531,642,343 is 7288598394.

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.

561 x 531 x 642 x 343 = 65597385546

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

531 : 1, 3, 9, 59, 177, 531

642 : 1, 2, 3, 6, 107, 214, 321, 642

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,531,642,343, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

531:3x 3x 59

642:2x 3x 107

343:7x 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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 65597385546/(1x9)

LCM = 65597385546/9

LCM = 7288598394

Thus, we can understand that the LCM of 561,531,642,343 is 7288598394.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 848, 232, 668, 967
• LCM of 516, 808, 894, 133
• LCM of 454, 970, 603, 145
• LCM of 645, 675, 746, 223
• LCM of 726, 261, 322, 714

1. What is the LCM of 561, 531, 642, 343?

Answer: LCM of 561, 531, 642, 343 is 7288598394.

2. How to calculate the LCM of 561, 531, 642, 343?

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 561, 531, 642, 343.

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}.