Given numbers are 492,858,264,283,918

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

The LCM of 492,858,264,283,918 is 6092688888.

Find LCM of 492,858,264,283,918 with Prime Factorization

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

2 x 2 x 3 x 11 x 41 x 13 x 2 x 283 x 153 = 6092688888

Therefore, the lowest common multiple of 492,858,264,283,918 is 6092688888.

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.

492 x 858 x 264 x 283 x 918 = 28952457595776

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

283 : 1, 283

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,858,264,283,918, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

858:2x 3x 11x 13

264:2x 2x 2x 3x 11

283:283

918:2x 3x 3x 3x 17

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 2x 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 28952457595776/(1x4752)

LCM = 28952457595776/4752

LCM = 6092688888

Thus, we can understand that the LCM of 492,858,264,283,918 is 6092688888.

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

• LCM of 971, 945, 101, 807, 445
• LCM of 265, 183, 762, 975, 773
• LCM of 581, 821, 442, 870, 663
• LCM of 582, 342, 459, 428, 412
• LCM of 450, 392, 999, 219, 694

1. What is the LCM of 492, 858, 264, 283, 918?

Answer: LCM of 492, 858, 264, 283, 918 is 6092688888.

2. How to calculate the LCM of 492, 858, 264, 283, 918?

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 492, 858, 264, 283, 918.

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}.