Given numbers are 940,858,430,582,312

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

The LCM of 940,858,430,582,312 is 3363994920.

Find LCM of 940,858,430,582,312 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 47 x 11 x 43 x 97 x 2 = 3363994920

Therefore, the lowest common multiple of 940,858,430,582,312 is 3363994920.

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.

940 x 858 x 430 x 582 x 312 = 62973984902400

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

582 : 1, 2, 3, 6, 97, 194, 291, 582

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,858,430,582,312, is 2.

Now, the common factors can be found like this.

940:2x 2x 5x 47

858:2x 3x 11x 13

430:2x 5x 43

582:2x 3x 97

312:2x 2x 2x 3x 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 2x 3x 3x 5x 13 = 9360

Therefore, the value for common factors is 9360.

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 = 62973984902400/(2x9360)

LCM = 62973984902400/18720

LCM = 3363994920

Thus, we can understand that the LCM of 940,858,430,582,312 is 3363994920.

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

• LCM of 219, 777, 131, 367, 695
• LCM of 586, 533, 451, 297, 944
• LCM of 133, 437, 174, 290, 211
• LCM of 524, 355, 367, 644, 277
• LCM of 264, 500, 558, 528, 225

1. What is the LCM of 940, 858, 430, 582, 312?

Answer: LCM of 940, 858, 430, 582, 312 is 3363994920.

2. How to calculate the LCM of 940, 858, 430, 582, 312?

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 940, 858, 430, 582, 312.

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}.