Given numbers are 398,282,723,782

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

The LCM of 398,282,723,782 is 5288055258.

Find LCM of 398,282,723,782 with Prime Factorization

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

2 x 3 x 199 x 47 x 241 x 391 = 5288055258

Therefore, the lowest common multiple of 398,282,723,782 is 5288055258.

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.

398 x 282 x 723 x 782 = 63456663096

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.

398 : 1, 2, 199, 398

282 : 1, 2, 3, 6, 47, 94, 141, 282

723 : 1, 3, 241, 723

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,282,723,782, is 1.

Now, the common factors can be found like this.

398:2x 199

282:2x 3x 47

723:3x 241

782:2x 17x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 63456663096/(1x12)

LCM = 63456663096/12

LCM = 5288055258

Thus, we can understand that the LCM of 398,282,723,782 is 5288055258.

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

• LCM of 828, 219, 230, 853
• LCM of 946, 651, 430, 856
• LCM of 711, 553, 830, 196
• LCM of 116, 196, 530, 115
• LCM of 791, 868, 166, 333

1. What is the LCM of 398, 282, 723, 782?

Answer: LCM of 398, 282, 723, 782 is 5288055258.

2. How to calculate the LCM of 398, 282, 723, 782?

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 398, 282, 723, 782.

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}.