Given numbers are 467,278,738,660,920

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

The LCM of 467,278,738,660,920 is 242403317640.

Find LCM of 467,278,738,660,920 with Prime Factorization

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

2 x 2 x 3 x 5 x 467 x 139 x 123 x 11 x 46 = 242403317640

Therefore, the lowest common multiple of 467,278,738,660,920 is 242403317640.

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.

467 x 278 x 738 x 660 x 920 = 58176796233600

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.

467 : 1, 467

278 : 1, 2, 139, 278

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,278,738,660,920, is 1.

Now, the common factors can be found like this.

467:467

278:2x 139

738:2x 3x 3x 41

660:2x 2x 3x 5x 11

920:2x 2x 2x 5x 23

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 5 = 240

Therefore, the value for common factors is 240.

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 = 58176796233600/(1x240)

LCM = 58176796233600/240

LCM = 242403317640

Thus, we can understand that the LCM of 467,278,738,660,920 is 242403317640.

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

• LCM of 959, 875, 315, 591, 100
• LCM of 947, 426, 816, 342, 859
• LCM of 170, 610, 408, 602, 940
• LCM of 345, 809, 953, 417, 251
• LCM of 142, 607, 484, 445, 336

1. What is the LCM of 467, 278, 738, 660, 920?

Answer: LCM of 467, 278, 738, 660, 920 is 242403317640.

2. How to calculate the LCM of 467, 278, 738, 660, 920?

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 467, 278, 738, 660, 920.

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}.