Given numbers are 724,328,489,148

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

The LCM of 724,328,489,148 is 1074145224.

Find LCM of 724,328,489,148 with Prime Factorization

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

2 x 2 x 181 x 82 x 489 x 37 = 1074145224

Therefore, the lowest common multiple of 724,328,489,148 is 1074145224.

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.

724 x 328 x 489 x 148 = 17186323584

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.

724 : 1, 2, 4, 181, 362, 724

328 : 1, 2, 4, 8, 41, 82, 164, 328

489 : 1, 3, 163, 489

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,328,489,148, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

328:2x 2x 2x 41

489:3x 163

148:2x 2x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 17186323584/(1x16)

LCM = 17186323584/16

LCM = 1074145224

Thus, we can understand that the LCM of 724,328,489,148 is 1074145224.

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

• LCM of 263, 718, 165, 281
• LCM of 392, 643, 702, 901
• LCM of 121, 333, 598, 915
• LCM of 741, 195, 526, 484
• LCM of 355, 209, 100, 845

1. What is the LCM of 724, 328, 489, 148?

Answer: LCM of 724, 328, 489, 148 is 1074145224.

2. How to calculate the LCM of 724, 328, 489, 148?

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 724, 328, 489, 148.

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}.