Given numbers are 464,208,169,587

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

The LCM of 464,208,169,587 is 46030192.

Find LCM of 464,208,169,587 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 29 x 1 x 13 x 587 = 46030192

Therefore, the lowest common multiple of 464,208,169,587 is 46030192.

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.

464 x 208 x 169 x 587 = 9574279936

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

169 : 1, 13, 169

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,208,169,587, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

208:2x 2x 2x 2x 13

169:13x 13

587:587

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 13 = 208

Therefore, the value for common factors is 208.

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 = 9574279936/(1x208)

LCM = 9574279936/208

LCM = 46030192

Thus, we can understand that the LCM of 464,208,169,587 is 46030192.

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

• LCM of 804, 169, 488, 991
• LCM of 870, 989, 721, 384
• LCM of 692, 790, 662, 875
• LCM of 383, 703, 343, 883
• LCM of 496, 690, 447, 959

1. What is the LCM of 464, 208, 169, 587?

Answer: LCM of 464, 208, 169, 587 is 46030192.

2. How to calculate the LCM of 464, 208, 169, 587?

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 464, 208, 169, 587.

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}.