Given numbers are 456,319,436,149

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

The LCM of 456,319,436,149 is 2362480824.

Find LCM of 456,319,436,149 with Prime Factorization

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

2 x 2 x 114 x 319 x 109 x 149 = 2362480824

Therefore, the lowest common multiple of 456,319,436,149 is 2362480824.

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.

456 x 319 x 436 x 149 = 9449923296

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

319 : 1, 11, 29, 319

436 : 1, 2, 4, 109, 218, 436

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,319,436,149, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

319:11x 29

436:2x 2x 109

149:149

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 = 9449923296/(1x4)

LCM = 9449923296/4

LCM = 2362480824

Thus, we can understand that the LCM of 456,319,436,149 is 2362480824.

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

• LCM of 269, 103, 699, 699
• LCM of 746, 813, 218, 488
• LCM of 434, 543, 783, 572
• LCM of 870, 422, 798, 675
• LCM of 513, 108, 800, 166

1. What is the LCM of 456, 319, 436, 149?

Answer: LCM of 456, 319, 436, 149 is 2362480824.

2. How to calculate the LCM of 456, 319, 436, 149?

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 456, 319, 436, 149.

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}.