Given numbers are 258,744,281,660,464

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

The LCM of 258,744,281,660,464 is 28677308880.

Find LCM of 258,744,281,660,464 with Prime Factorization

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

2 x 2 x 2 x 3 x 43 x 31 x 281 x 55 x 58 = 28677308880

Therefore, the lowest common multiple of 258,744,281,660,464 is 28677308880.

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.

258 x 744 x 281 x 660 x 464 = 16518129914880

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

281 : 1, 281

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,744,281,660,464, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

744:2x 2x 2x 3x 31

281:281

660:2x 2x 3x 5x 11

464:2x 2x 2x 2x 29

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 16518129914880/(1x576)

LCM = 16518129914880/576

LCM = 28677308880

Thus, we can understand that the LCM of 258,744,281,660,464 is 28677308880.

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

• LCM of 366, 254, 759, 400, 263
• LCM of 380, 671, 280, 301, 858
• LCM of 405, 825, 793, 189, 896
• LCM of 991, 216, 667, 738, 709
• LCM of 786, 291, 483, 856, 606

1. What is the LCM of 258, 744, 281, 660, 464?

Answer: LCM of 258, 744, 281, 660, 464 is 28677308880.

2. How to calculate the LCM of 258, 744, 281, 660, 464?

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 258, 744, 281, 660, 464.

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}.