Given numbers are 748,494,936,737,550

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

The LCM of 748,494,936,737,550 is 5570393400.

Find LCM of 748,494,936,737,550 with Prime Factorization

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

2 x 2 x 11 x 13 x 17 x 19 x 18 x 67 x 25 = 5570393400

Therefore, the lowest common multiple of 748,494,936,737,550 is 5570393400.

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.

748 x 494 x 936 x 737 x 550 = 140195661091200

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

737 : 1, 11, 67, 737

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,494,936,737,550, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

494:2x 13x 19

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

737:11x 67

550:2x 5x 5x 11

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 11x 11x 13 = 25168

Therefore, the value for common factors is 25168.

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 = 140195661091200/(1x25168)

LCM = 140195661091200/25168

LCM = 5570393400

Thus, we can understand that the LCM of 748,494,936,737,550 is 5570393400.

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

• LCM of 778, 925, 769, 422, 179
• LCM of 359, 849, 393, 576, 591
• LCM of 139, 189, 331, 954, 736
• LCM of 354, 200, 707, 148, 277
• LCM of 909, 432, 109, 538, 371

1. What is the LCM of 748, 494, 936, 737, 550?

Answer: LCM of 748, 494, 936, 737, 550 is 5570393400.

2. How to calculate the LCM of 748, 494, 936, 737, 550?

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 748, 494, 936, 737, 550.

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}.