Given numbers are 546,208,331,823

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

The LCM of 546,208,331,823 is 1189899984.

Find LCM of 546,208,331,823 with Prime Factorization

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

2 x 13 x 21 x 8 x 331 x 823 = 1189899984

Therefore, the lowest common multiple of 546,208,331,823 is 1189899984.

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.

546 x 208 x 331 x 823 = 30937399584

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

331 : 1, 331

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,208,331,823, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

208:2x 2x 2x 2x 13

331:331

823:823

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 30937399584/(1x26)

LCM = 30937399584/26

LCM = 1189899984

Thus, we can understand that the LCM of 546,208,331,823 is 1189899984.

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

• LCM of 550, 102, 879, 175
• LCM of 177, 259, 515, 966
• LCM of 988, 139, 875, 566
• LCM of 387, 574, 642, 895
• LCM of 891, 837, 359, 337

1. What is the LCM of 546, 208, 331, 823?

Answer: LCM of 546, 208, 331, 823 is 1189899984.

2. How to calculate the LCM of 546, 208, 331, 823?

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 546, 208, 331, 823.

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}.