Given numbers are 724,150,489,174,104

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

The LCM of 724,150,489,174,104 is 6673578600.

Find LCM of 724,150,489,174,104 with Prime Factorization

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

2 x 2 x 3 x 181 x 25 x 163 x 29 x 26 = 6673578600

Therefore, the lowest common multiple of 724,150,489,174,104 is 6673578600.

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 150 x 489 x 174 x 104 = 960995318400

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

489 : 1, 3, 163, 489

174 : 1, 2, 3, 6, 29, 58, 87, 174

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,150,489,174,104, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

150:2x 3x 5x 5

489:3x 163

174:2x 3x 29

104:2x 2x 2x 13

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 960995318400/(1x144)

LCM = 960995318400/144

LCM = 6673578600

Thus, we can understand that the LCM of 724,150,489,174,104 is 6673578600.

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

• LCM of 820, 189, 278, 116, 901
• LCM of 587, 773, 139, 373, 714
• LCM of 730, 607, 271, 810, 505
• LCM of 300, 123, 667, 794, 414
• LCM of 222, 156, 290, 261, 433

1. What is the LCM of 724, 150, 489, 174, 104?

Answer: LCM of 724, 150, 489, 174, 104 is 6673578600.

2. How to calculate the LCM of 724, 150, 489, 174, 104?

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, 150, 489, 174, 104.

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}.