Given numbers are 741,473,149,912,409

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

The LCM of 741,473,149,912,409 is 341750302608.

Find LCM of 741,473,149,912,409 with Prime Factorization

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

3 x 19 x 13 x 473 x 149 x 16 x 409 = 341750302608

Therefore, the lowest common multiple of 741,473,149,912,409 is 341750302608.

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.

741 x 473 x 149 x 912 x 409 = 19479767248656

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

473 : 1, 11, 43, 473

149 : 1, 149

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,473,149,912,409, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

473:11x 43

149:149

912:2x 2x 2x 2x 3x 19

409:409

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 19479767248656/(1x57)

LCM = 19479767248656/57

LCM = 341750302608

Thus, we can understand that the LCM of 741,473,149,912,409 is 341750302608.

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

• LCM of 996, 249, 771, 354, 432
• LCM of 297, 800, 522, 247, 932
• LCM of 242, 788, 477, 103, 601
• LCM of 517, 255, 698, 113, 391
• LCM of 858, 329, 429, 223, 981

1. What is the LCM of 741, 473, 149, 912, 409?

Answer: LCM of 741, 473, 149, 912, 409 is 341750302608.

2. How to calculate the LCM of 741, 473, 149, 912, 409?

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 741, 473, 149, 912, 409.

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}.