Given numbers are 149,538,363,469,407

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

The LCM of 149,538,363,469,407 is 504951580518.

Find LCM of 149,538,363,469,407 with Prime Factorization

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

11 x 149 x 538 x 33 x 469 x 37 = 504951580518

Therefore, the lowest common multiple of 149,538,363,469,407 is 504951580518.

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 538 x 363 x 469 x 407 = 5554467385698

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

538 : 1, 2, 269, 538

363 : 1, 3, 11, 33, 121, 363

469 : 1, 7, 67, 469

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,538,363,469,407, is 1.

Now, the common factors can be found like this.

149:149

538:2x 269

363:3x 11x 11

469:7x 67

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 5554467385698/(1x11)

LCM = 5554467385698/11

LCM = 504951580518

Thus, we can understand that the LCM of 149,538,363,469,407 is 504951580518.

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

• LCM of 492, 213, 630, 859, 900
• LCM of 777, 834, 969, 580, 778
• LCM of 874, 754, 641, 327, 872
• LCM of 500, 453, 739, 572, 193
• LCM of 842, 449, 744, 740, 601

1. What is the LCM of 149, 538, 363, 469, 407?

Answer: LCM of 149, 538, 363, 469, 407 is 504951580518.

2. How to calculate the LCM of 149, 538, 363, 469, 407?

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, 538, 363, 469, 407.

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}.