Given numbers are 940,465,920,489,168

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

The LCM of 940,465,920,489,168 is 4588326120.

Find LCM of 940,465,920,489,168 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 47 x 31 x 23 x 163 x 7 = 4588326120

Therefore, the lowest common multiple of 940,465,920,489,168 is 4588326120.

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 465 x 920 x 489 x 168 = 33035948064000

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

465 : 1, 3, 5, 15, 31, 93, 155, 465

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

489 : 1, 3, 163, 489

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,465,920,489,168, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

465:3x 5x 31

920:2x 2x 2x 5x 23

489:3x 163

168:2x 2x 2x 3x 7

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 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 33035948064000/(1x7200)

LCM = 33035948064000/7200

LCM = 4588326120

Thus, we can understand that the LCM of 940,465,920,489,168 is 4588326120.

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

• LCM of 104, 884, 288, 803, 258
• LCM of 704, 561, 644, 769, 675
• LCM of 537, 214, 942, 898, 610
• LCM of 436, 850, 230, 176, 468
• LCM of 399, 814, 946, 809, 601

1. What is the LCM of 940, 465, 920, 489, 168?

Answer: LCM of 940, 465, 920, 489, 168 is 4588326120.

2. How to calculate the LCM of 940, 465, 920, 489, 168?

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, 465, 920, 489, 168.

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}.