Given numbers are 580,624,146,489

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

The LCM of 580,624,146,489 is 1076621520.

Find LCM of 580,624,146,489 with Prime Factorization

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

2 x 2 x 3 x 145 x 52 x 73 x 163 = 1076621520

Therefore, the lowest common multiple of 580,624,146,489 is 1076621520.

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.

580 x 624 x 146 x 489 = 25838916480

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

146 : 1, 2, 73, 146

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,624,146,489, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

624:2x 2x 2x 2x 3x 13

146:2x 73

489:3x 163

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 3 = 24

Therefore, the value for common factors is 24.

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 = 25838916480/(1x24)

LCM = 25838916480/24

LCM = 1076621520

Thus, we can understand that the LCM of 580,624,146,489 is 1076621520.

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

• LCM of 450, 956, 709, 678
• LCM of 955, 630, 415, 718
• LCM of 494, 915, 941, 428
• LCM of 135, 822, 844, 668
• LCM of 569, 171, 239, 976

1. What is the LCM of 580, 624, 146, 489?

Answer: LCM of 580, 624, 146, 489 is 1076621520.

2. How to calculate the LCM of 580, 624, 146, 489?

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 580, 624, 146, 489.

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}.