Given numbers are 434,176,842,960

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

The LCM of 434,176,842,960 is 964729920.

Find LCM of 434,176,842,960 with Prime Factorization

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

2 x 2 x 2 x 2 x 217 x 11 x 421 x 60 = 964729920

Therefore, the lowest common multiple of 434,176,842,960 is 964729920.

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.

434 x 176 x 842 x 960 = 61742714880

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

842 : 1, 2, 421, 842

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,176,842,960, is 2.

Now, the common factors can be found like this.

434:2x 7x 31

176:2x 2x 2x 2x 11

842:2x 421

960:2x 2x 2x 2x 2x 2x 3x 5

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 2 = 32

Therefore, the value for common factors is 32.

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 = 61742714880/(2x32)

LCM = 61742714880/64

LCM = 964729920

Thus, we can understand that the LCM of 434,176,842,960 is 964729920.

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

• LCM of 941, 439, 819, 270
• LCM of 954, 615, 858, 121
• LCM of 550, 782, 960, 311
• LCM of 680, 733, 294, 353
• LCM of 746, 550, 771, 192

1. What is the LCM of 434, 176, 842, 960?

Answer: LCM of 434, 176, 842, 960 is 964729920.

2. How to calculate the LCM of 434, 176, 842, 960?

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 434, 176, 842, 960.

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}.