Given numbers are 149,804,402,585,214

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

The LCM of 149,804,402,585,214 is 2499543540.

Find LCM of 149,804,402,585,214 with Prime Factorization

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

2 x 3 x 67 x 149 x 2 x 1 x 195 x 107 = 2499543540

Therefore, the lowest common multiple of 149,804,402,585,214 is 2499543540.

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.

149 x 804 x 402 x 585 x 214 = 6028899018480

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.

149 : 1, 149

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,804,402,585,214, is 1.

Now, the common factors can be found like this.

149:149

804:2x 2x 3x 67

402:2x 3x 67

585:3x 3x 5x 13

214:2x 107

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 3x 3x 67 = 2412

Therefore, the value for common factors is 2412.

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 = 6028899018480/(1x2412)

LCM = 6028899018480/2412

LCM = 2499543540

Thus, we can understand that the LCM of 149,804,402,585,214 is 2499543540.

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

• LCM of 934, 562, 275, 876, 191
• LCM of 580, 912, 131, 711, 504
• LCM of 232, 963, 788, 887, 141
• LCM of 725, 474, 956, 387, 546
• LCM of 658, 210, 797, 989, 850

1. What is the LCM of 149, 804, 402, 585, 214?

Answer: LCM of 149, 804, 402, 585, 214 is 2499543540.

2. How to calculate the LCM of 149, 804, 402, 585, 214?

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 149, 804, 402, 585, 214.

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}.