Given numbers are 507,338,646,149

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

The LCM of 507,338,646,149 is 48800778.

Find LCM of 507,338,646,149 with Prime Factorization

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

2 x 13 x 13 x 3 x 1 x 323 x 149 = 48800778

Therefore, the lowest common multiple of 507,338,646,149 is 48800778.

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.

507 x 338 x 646 x 149 = 16494662964

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.

507 : 1, 3, 13, 39, 169, 507

338 : 1, 2, 13, 26, 169, 338

646 : 1, 2, 17, 19, 34, 38, 323, 646

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,338,646,149, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

338:2x 13x 13

646:2x 17x 19

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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 16494662964/(1x338)

LCM = 16494662964/338

LCM = 48800778

Thus, we can understand that the LCM of 507,338,646,149 is 48800778.

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

• LCM of 746, 301, 132, 300
• LCM of 709, 805, 141, 488
• LCM of 348, 220, 606, 141
• LCM of 953, 586, 847, 823
• LCM of 959, 734, 448, 838

1. What is the LCM of 507, 338, 646, 149?

Answer: LCM of 507, 338, 646, 149 is 48800778.

2. How to calculate the LCM of 507, 338, 646, 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 507, 338, 646, 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}.