Given numbers are 149,468,377,493

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

The LCM of 149,468,377,493 is 34377876.

Find LCM of 149,468,377,493 with Prime Factorization

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

13 x 29 x 149 x 36 x 1 x 17 = 34377876

Therefore, the lowest common multiple of 149,468,377,493 is 34377876.

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.

149 x 468 x 377 x 493 = 12960459252

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.

149 : 1, 149

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

377 : 1, 13, 29, 377

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,468,377,493, is 1.

Now, the common factors can be found like this.

149:149

468:2x 2x 3x 3x 13

377:13x 29

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 12960459252/(1x377)

LCM = 12960459252/377

LCM = 34377876

Thus, we can understand that the LCM of 149,468,377,493 is 34377876.

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

• LCM of 255, 861, 573, 782
• LCM of 200, 657, 372, 450
• LCM of 462, 919, 800, 544
• LCM of 294, 271, 551, 316
• LCM of 861, 294, 685, 899

1. What is the LCM of 149, 468, 377, 493?

Answer: LCM of 149, 468, 377, 493 is 34377876.

2. How to calculate the LCM of 149, 468, 377, 493?

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 149, 468, 377, 493.

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}.