Given numbers are 738,528,808,418

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

The LCM of 738,528,808,418 is 124627536.

Find LCM of 738,528,808,418 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 123 x 2 x 101 x 19 = 124627536

Therefore, the lowest common multiple of 738,528,808,418 is 124627536.

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.

738 x 528 x 808 x 418 = 131606678016

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,528,808,418, is 2.

Now, the common factors can be found like this.

738:2x 3x 3x 41

528:2x 2x 2x 2x 3x 11

808:2x 2x 2x 101

418:2x 11x 19

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 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 131606678016/(2x528)

LCM = 131606678016/1056

LCM = 124627536

Thus, we can understand that the LCM of 738,528,808,418 is 124627536.

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

• LCM of 968, 519, 140, 287
• LCM of 260, 979, 547, 703
• LCM of 697, 141, 807, 279
• LCM of 646, 893, 478, 728
• LCM of 452, 967, 116, 617

1. What is the LCM of 738, 528, 808, 418?

Answer: LCM of 738, 528, 808, 418 is 124627536.

2. How to calculate the LCM of 738, 528, 808, 418?

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 738, 528, 808, 418.

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}.