Given numbers are 413,348,418,972

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

The LCM of 413,348,418,972 is 2433103596.

Find LCM of 413,348,418,972 with Prime Factorization

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

2 x 2 x 3 x 413 x 29 x 209 x 81 = 2433103596

Therefore, the lowest common multiple of 413,348,418,972 is 2433103596.

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.

413 x 348 x 418 x 972 = 58394486304

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.

413 : 1, 7, 59, 413

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

418 : 1, 2, 11, 19, 22, 38, 209, 418

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,348,418,972, is 1.

Now, the common factors can be found like this.

413:7x 59

348:2x 2x 3x 29

418:2x 11x 19

972:2x 2x 3x 3x 3x 3x 3

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 58394486304/(1x24)

LCM = 58394486304/24

LCM = 2433103596

Thus, we can understand that the LCM of 413,348,418,972 is 2433103596.

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

• LCM of 996, 205, 487, 362
• LCM of 956, 792, 930, 877
• LCM of 874, 847, 285, 415
• LCM of 170, 969, 882, 974
• LCM of 123, 255, 211, 522

1. What is the LCM of 413, 348, 418, 972?

Answer: LCM of 413, 348, 418, 972 is 2433103596.

2. How to calculate the LCM of 413, 348, 418, 972?

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 413, 348, 418, 972.

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}.