Given numbers are 442,884,646,756

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

The LCM of 442,884,646,756 is 3174444.

Find LCM of 442,884,646,756 with Prime Factorization

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

2 x 2 x 13 x 17 x 1 x 1 x 19 x 189 = 3174444

Therefore, the lowest common multiple of 442,884,646,756 is 3174444.

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 884 x 646 x 756 = 190822177728

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

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,884,646,756, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

884:2x 2x 13x 17

646:2x 17x 19

756:2x 2x 3x 3x 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 13x 17x 17 = 30056

Therefore, the value for common factors is 30056.

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 = 190822177728/(2x30056)

LCM = 190822177728/60112

LCM = 3174444

Thus, we can understand that the LCM of 442,884,646,756 is 3174444.

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

• LCM of 572, 791, 628, 734
• LCM of 386, 514, 997, 911
• LCM of 636, 469, 531, 600
• LCM of 277, 814, 282, 466
• LCM of 628, 907, 453, 727

1. What is the LCM of 442, 884, 646, 756?

Answer: LCM of 442, 884, 646, 756 is 3174444.

2. How to calculate the LCM of 442, 884, 646, 756?

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, 884, 646, 756.

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}.