Given numbers are 476,754,460,821,104

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

The LCM of 476,754,460,821,104 is 33885921160.

Find LCM of 476,754,460,821,104 with Prime Factorization

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

2 x 2 x 13 x 119 x 29 x 115 x 821 x 2 = 33885921160

Therefore, the lowest common multiple of 476,754,460,821,104 is 33885921160.

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.

476 x 754 x 460 x 821 x 104 = 14096543202560

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

754 : 1, 2, 13, 26, 29, 58, 377, 754

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

821 : 1, 821

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,754,460,821,104, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

754:2x 13x 29

460:2x 2x 5x 23

821:821

104:2x 2x 2x 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 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 14096543202560/(1x416)

LCM = 14096543202560/416

LCM = 33885921160

Thus, we can understand that the LCM of 476,754,460,821,104 is 33885921160.

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

• LCM of 298, 820, 856, 617, 236
• LCM of 719, 548, 709, 509, 329
• LCM of 105, 451, 373, 540, 154
• LCM of 752, 423, 941, 649, 684
• LCM of 995, 897, 143, 185, 455

1. What is the LCM of 476, 754, 460, 821, 104?

Answer: LCM of 476, 754, 460, 821, 104 is 33885921160.

2. How to calculate the LCM of 476, 754, 460, 821, 104?

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 476, 754, 460, 821, 104.

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}.