Given numbers are 442,728,994,804,470

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

The LCM of 442,728,994,804,470 is 41505205560.

Find LCM of 442,728,994,804,470 with Prime Factorization

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

2 x 2 x 7 x 13 x 17 x 2 x 71 x 201 x 235 = 41505205560

Therefore, the lowest common multiple of 442,728,994,804,470 is 41505205560.

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.

442 x 728 x 994 x 804 x 470 = 120863158590720

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

994 : 1, 2, 7, 14, 71, 142, 497, 994

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,728,994,804,470, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

728:2x 2x 2x 7x 13

994:2x 7x 71

804:2x 2x 3x 67

470:2x 5x 47

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 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 120863158590720/(2x1456)

LCM = 120863158590720/2912

LCM = 41505205560

Thus, we can understand that the LCM of 442,728,994,804,470 is 41505205560.

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

• LCM of 719, 780, 904, 585, 472
• LCM of 192, 785, 674, 253, 870
• LCM of 183, 347, 702, 820, 184
• LCM of 354, 631, 387, 358, 504
• LCM of 645, 865, 584, 288, 684

1. What is the LCM of 442, 728, 994, 804, 470?

Answer: LCM of 442, 728, 994, 804, 470 is 41505205560.

2. How to calculate the LCM of 442, 728, 994, 804, 470?

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 442, 728, 994, 804, 470.

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}.