Given numbers are 461,563,507,936,149

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

The LCM of 461,563,507,936,149 is 470559764376.

Find LCM of 461,563,507,936,149 with Prime Factorization

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

3 x 13 x 461 x 563 x 13 x 24 x 149 = 470559764376

Therefore, the lowest common multiple of 461,563,507,936,149 is 470559764376.

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.

461 x 563 x 507 x 936 x 149 = 18351830810664

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.

461 : 1, 461

563 : 1, 563

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,563,507,936,149, is 1.

Now, the common factors can be found like this.

461:461

563:563

507:3x 13x 13

936:2x 2x 2x 3x 3x 13

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.

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 18351830810664/(1x39)

LCM = 18351830810664/39

LCM = 470559764376

Thus, we can understand that the LCM of 461,563,507,936,149 is 470559764376.

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

• LCM of 207, 502, 769, 399, 462
• LCM of 434, 838, 324, 978, 995
• LCM of 422, 520, 318, 400, 223
• LCM of 412, 387, 582, 734, 142
• LCM of 210, 474, 226, 808, 346

1. What is the LCM of 461, 563, 507, 936, 149?

Answer: LCM of 461, 563, 507, 936, 149 is 470559764376.

2. How to calculate the LCM of 461, 563, 507, 936, 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 461, 563, 507, 936, 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}.