Given numbers are 489,421,748,596

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

The LCM of 489,421,748,596 is 22944511788.

Find LCM of 489,421,748,596 with Prime Factorization

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

2 x 2 x 489 x 421 x 187 x 149 = 22944511788

Therefore, the lowest common multiple of 489,421,748,596 is 22944511788.

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.

489 x 421 x 748 x 596 = 91778047152

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.

489 : 1, 3, 163, 489

421 : 1, 421

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,421,748,596, is 1.

Now, the common factors can be found like this.

489:3x 163

421:421

748:2x 2x 11x 17

596:2x 2x 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 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 = 91778047152/(1x4)

LCM = 91778047152/4

LCM = 22944511788

Thus, we can understand that the LCM of 489,421,748,596 is 22944511788.

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

• LCM of 466, 507, 358, 795
• LCM of 563, 844, 946, 321
• LCM of 265, 993, 110, 606
• LCM of 486, 467, 908, 473
• LCM of 149, 329, 445, 101

1. What is the LCM of 489, 421, 748, 596?

Answer: LCM of 489, 421, 748, 596 is 22944511788.

2. How to calculate the LCM of 489, 421, 748, 596?

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 489, 421, 748, 596.

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}.