Given numbers are 723,982,214,392

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

The LCM of 723,982,214,392 is 14889826392.

Find LCM of 723,982,214,392 with Prime Factorization

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

2 x 723 x 491 x 107 x 196 = 14889826392

Therefore, the lowest common multiple of 723,982,214,392 is 14889826392.

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.

723 x 982 x 214 x 392 = 59559305568

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.

723 : 1, 3, 241, 723

982 : 1, 2, 491, 982

214 : 1, 2, 107, 214

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,982,214,392, is 1.

Now, the common factors can be found like this.

723:3x 241

982:2x 491

214:2x 107

392:2x 2x 2x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 59559305568/(1x4)

LCM = 59559305568/4

LCM = 14889826392

Thus, we can understand that the LCM of 723,982,214,392 is 14889826392.

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

• LCM of 100, 279, 673, 653
• LCM of 790, 161, 307, 254
• LCM of 441, 605, 790, 692
• LCM of 253, 421, 594, 244
• LCM of 477, 215, 681, 518

1. What is the LCM of 723, 982, 214, 392?

Answer: LCM of 723, 982, 214, 392 is 14889826392.

2. How to calculate the LCM of 723, 982, 214, 392?

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 723, 982, 214, 392.

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}.