Given numbers are 460,750,371,640,983

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

The LCM of 460,750,371,640,983 is 402621072000.

Find LCM of 460,750,371,640,983 with Prime Factorization

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

2 x 2 x 5 x 23 x 75 x 371 x 32 x 983 = 402621072000

Therefore, the lowest common multiple of 460,750,371,640,983 is 402621072000.

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.

460 x 750 x 371 x 640 x 983 = 80524214400000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

371 : 1, 7, 53, 371

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,750,371,640,983, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

750:2x 3x 5x 5x 5

371:7x 53

640:2x 2x 2x 2x 2x 2x 2x 5

983:983

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 80524214400000/(1x200)

LCM = 80524214400000/200

LCM = 402621072000

Thus, we can understand that the LCM of 460,750,371,640,983 is 402621072000.

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

• LCM of 320, 897, 807, 626, 915
• LCM of 226, 216, 710, 183, 109
• LCM of 230, 834, 789, 179, 328
• LCM of 781, 196, 127, 841, 185
• LCM of 804, 843, 472, 190, 835

1. What is the LCM of 460, 750, 371, 640, 983?

Answer: LCM of 460, 750, 371, 640, 983 is 402621072000.

2. How to calculate the LCM of 460, 750, 371, 640, 983?

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 460, 750, 371, 640, 983.

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}.