Given numbers are 460,975,985,467,596

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

The LCM of 460,975,985,467,596 is 1229594234700.

Find LCM of 460,975,985,467,596 with Prime Factorization

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

2 x 2 x 5 x 23 x 195 x 197 x 467 x 149 = 1229594234700

Therefore, the lowest common multiple of 460,975,985,467,596 is 1229594234700.

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.

460 x 975 x 985 x 467 x 596 = 122959423470000

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.

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

985 : 1, 5, 197, 985

467 : 1, 467

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,975,985,467,596, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

975:3x 5x 5x 13

985:5x 197

467:467

596:2x 2x 149

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 122959423470000/(1x100)

LCM = 122959423470000/100

LCM = 1229594234700

Thus, we can understand that the LCM of 460,975,985,467,596 is 1229594234700.

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

• LCM of 412, 437, 791, 671, 513
• LCM of 191, 205, 198, 484, 975
• LCM of 435, 539, 620, 897, 439
• LCM of 998, 820, 766, 380, 230
• LCM of 780, 991, 847, 366, 355

1. What is the LCM of 460, 975, 985, 467, 596?

Answer: LCM of 460, 975, 985, 467, 596 is 1229594234700.

2. How to calculate the LCM of 460, 975, 985, 467, 596?

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 460, 975, 985, 467, 596.

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}.