Given numbers are 408,982,552,714,731

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

The LCM of 408,982,552,714,731 is 1386870744.

Find LCM of 408,982,552,714,731 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 1 x 491 x 23 x 7 x 43 = 1386870744

Therefore, the lowest common multiple of 408,982,552,714,731 is 1386870744.

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.

408 x 982 x 552 x 714 x 731 = 115432025764608

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

982 : 1, 2, 491, 982

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,982,552,714,731, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

982:2x 491

552:2x 2x 2x 3x 23

714:2x 3x 7x 17

731:17x 43

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 3x 3x 17x 17 = 83232

Therefore, the value for common factors is 83232.

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 = 115432025764608/(1x83232)

LCM = 115432025764608/83232

LCM = 1386870744

Thus, we can understand that the LCM of 408,982,552,714,731 is 1386870744.

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

• LCM of 234, 345, 346, 771, 489
• LCM of 650, 357, 301, 823, 649
• LCM of 192, 832, 935, 627, 219
• LCM of 736, 530, 429, 499, 988
• LCM of 306, 460, 272, 118, 672

1. What is the LCM of 408, 982, 552, 714, 731?

Answer: LCM of 408, 982, 552, 714, 731 is 1386870744.

2. How to calculate the LCM of 408, 982, 552, 714, 731?

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 408, 982, 552, 714, 731.

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}.