Given numbers are 946,162,344,489,546

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

The LCM of 946,162,344,489,546 is 4546373832.

Find LCM of 946,162,344,489,546 with Prime Factorization

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

2 x 3 x 43 x 11 x 27 x 4 x 163 x 91 = 4546373832

Therefore, the lowest common multiple of 946,162,344,489,546 is 4546373832.

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.

946 x 162 x 344 x 489 x 546 = 14075573383872

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

344 : 1, 2, 4, 8, 43, 86, 172, 344

489 : 1, 3, 163, 489

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,162,344,489,546, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

162:2x 3x 3x 3x 3

344:2x 2x 2x 43

489:3x 163

546:2x 3x 7x 13

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 3x 3x 43 = 3096

Therefore, the value for common factors is 3096.

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 = 14075573383872/(1x3096)

LCM = 14075573383872/3096

LCM = 4546373832

Thus, we can understand that the LCM of 946,162,344,489,546 is 4546373832.

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

• LCM of 332, 208, 964, 890, 228
• LCM of 267, 863, 557, 707, 377
• LCM of 525, 927, 643, 227, 649
• LCM of 891, 956, 369, 825, 773
• LCM of 637, 170, 319, 435, 274

1. What is the LCM of 946, 162, 344, 489, 546?

Answer: LCM of 946, 162, 344, 489, 546 is 4546373832.

2. How to calculate the LCM of 946, 162, 344, 489, 546?

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 946, 162, 344, 489, 546.

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}.