Given numbers are 884,746,165,414,460

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

The LCM of 884,746,165,414,460 is 3753998820.

Find LCM of 884,746,165,414,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 221 x 373 x 11 x 3 x 1 = 3753998820

Therefore, the lowest common multiple of 884,746,165,414,460 is 3753998820.

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.

884 x 746 x 165 x 414 x 460 = 20722073486400

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

746 : 1, 2, 373, 746

165 : 1, 3, 5, 11, 15, 33, 55, 165

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,746,165,414,460, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

746:2x 373

165:3x 5x 11

414:2x 3x 3x 23

460:2x 2x 5x 23

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 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 20722073486400/(1x5520)

LCM = 20722073486400/5520

LCM = 3753998820

Thus, we can understand that the LCM of 884,746,165,414,460 is 3753998820.

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

• LCM of 749, 873, 830, 267, 415
• LCM of 420, 549, 902, 131, 370
• LCM of 118, 739, 640, 885, 831
• LCM of 921, 924, 682, 889, 699
• LCM of 209, 727, 754, 493, 157

1. What is the LCM of 884, 746, 165, 414, 460?

Answer: LCM of 884, 746, 165, 414, 460 is 3753998820.

2. How to calculate the LCM of 884, 746, 165, 414, 460?

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 884, 746, 165, 414, 460.

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}.