Given numbers are 739,448,213,828,149

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

The LCM of 739,448,213,828,149 is 724999012416.

Find LCM of 739,448,213,828,149 with Prime Factorization

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

2 x 2 x 3 x 739 x 112 x 71 x 69 x 149 = 724999012416

Therefore, the lowest common multiple of 739,448,213,828,149 is 724999012416.

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.

739 x 448 x 213 x 828 x 149 = 8699988148992

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.

739 : 1, 739

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

213 : 1, 3, 71, 213

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,448,213,828,149, is 1.

Now, the common factors can be found like this.

739:739

448:2x 2x 2x 2x 2x 2x 7

213:3x 71

828:2x 2x 3x 3x 23

149:149

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 = 8699988148992/(1x12)

LCM = 8699988148992/12

LCM = 724999012416

Thus, we can understand that the LCM of 739,448,213,828,149 is 724999012416.

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

• LCM of 404, 417, 417, 411, 756
• LCM of 877, 567, 100, 656, 736
• LCM of 780, 152, 262, 860, 432
• LCM of 169, 484, 108, 707, 830
• LCM of 687, 575, 597, 217, 754

1. What is the LCM of 739, 448, 213, 828, 149?

Answer: LCM of 739, 448, 213, 828, 149 is 724999012416.

2. How to calculate the LCM of 739, 448, 213, 828, 149?

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 739, 448, 213, 828, 149.

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}.