Given numbers are 940,635,930,509,585

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

The LCM of 940,635,930,509,585 is 220392551340.

Find LCM of 940,635,930,509,585 with Prime Factorization

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

2 x 3 x 5 x 94 x 127 x 31 x 509 x 39 = 220392551340

Therefore, the lowest common multiple of 940,635,930,509,585 is 220392551340.

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 635 x 930 x 509 x 585 = 165294413505000

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

635 : 1, 5, 127, 635

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

509 : 1, 509

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,635,930,509,585, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

635:5x 127

930:2x 3x 5x 31

509:509

585:3x 3x 5x 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 3x 5x 5x 5 = 750

Therefore, the value for common factors is 750.

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 = 165294413505000/(1x750)

LCM = 165294413505000/750

LCM = 220392551340

Thus, we can understand that the LCM of 940,635,930,509,585 is 220392551340.

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

• LCM of 960, 131, 421, 121, 109
• LCM of 201, 965, 595, 919, 822
• LCM of 767, 924, 330, 484, 479
• LCM of 834, 513, 505, 870, 767
• LCM of 808, 999, 621, 377, 767

1. What is the LCM of 940, 635, 930, 509, 585?

Answer: LCM of 940, 635, 930, 509, 585 is 220392551340.

2. How to calculate the LCM of 940, 635, 930, 509, 585?

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, 635, 930, 509, 585.

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}.