Given numbers are 561,249,346,642

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

The LCM of 561,249,346,642 is 1723855386.

Find LCM of 561,249,346,642 with Prime Factorization

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

2 x 3 x 187 x 83 x 173 x 107 = 1723855386

Therefore, the lowest common multiple of 561,249,346,642 is 1723855386.

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 249 x 346 x 642 = 31029396948

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

249 : 1, 3, 83, 249

346 : 1, 2, 173, 346

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,249,346,642, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

249:3x 83

346:2x 173

642:2x 3x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 31029396948/(1x18)

LCM = 31029396948/18

LCM = 1723855386

Thus, we can understand that the LCM of 561,249,346,642 is 1723855386.

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

• LCM of 603, 539, 814, 460
• LCM of 338, 751, 918, 969
• LCM of 644, 163, 981, 100
• LCM of 483, 365, 466, 981
• LCM of 549, 762, 337, 209

1. What is the LCM of 561, 249, 346, 642?

Answer: LCM of 561, 249, 346, 642 is 1723855386.

2. How to calculate the LCM of 561, 249, 346, 642?

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, 249, 346, 642.

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}.