Given numbers are 926,214,248,804,750

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

The LCM of 926,214,248,804,750 is 308689971000.

Find LCM of 926,214,248,804,750 with Prime Factorization

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

2 x 2 x 3 x 463 x 107 x 62 x 67 x 125 = 308689971000

Therefore, the lowest common multiple of 926,214,248,804,750 is 308689971000.

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.

926 x 214 x 248 x 804 x 750 = 29634237216000

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.

926 : 1, 2, 463, 926

214 : 1, 2, 107, 214

248 : 1, 2, 4, 8, 31, 62, 124, 248

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,214,248,804,750, is 2.

Now, the common factors can be found like this.

926:2x 463

214:2x 107

248:2x 2x 2x 31

804:2x 2x 3x 67

750:2x 3x 5x 5x 5

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 3 = 48

Therefore, the value for common factors is 48.

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 = 29634237216000/(2x48)

LCM = 29634237216000/96

LCM = 308689971000

Thus, we can understand that the LCM of 926,214,248,804,750 is 308689971000.

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

• LCM of 709, 711, 531, 628, 775
• LCM of 416, 462, 400, 937, 982
• LCM of 988, 738, 137, 428, 866
• LCM of 188, 145, 296, 573, 598
• LCM of 202, 752, 194, 485, 882

1. What is the LCM of 926, 214, 248, 804, 750?

Answer: LCM of 926, 214, 248, 804, 750 is 308689971000.

2. How to calculate the LCM of 926, 214, 248, 804, 750?

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 926, 214, 248, 804, 750.

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}.