Given numbers are 201,785,728,469

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

The LCM of 201,785,728,469 is 114867480.

Find LCM of 201,785,728,469 with Prime Factorization

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

7 x 67 x 3 x 785 x 104 x 1 = 114867480

Therefore, the lowest common multiple of 201,785,728,469 is 114867480.

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.

201 x 785 x 728 x 469 = 53872848120

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.

201 : 1, 3, 67, 201

785 : 1, 5, 157, 785

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,785,728,469, is 1.

Now, the common factors can be found like this.

201:3x 67

785:5x 157

728:2x 2x 2x 7x 13

469:7x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 67 = 469

Therefore, the value for common factors is 469.

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 = 53872848120/(1x469)

LCM = 53872848120/469

LCM = 114867480

Thus, we can understand that the LCM of 201,785,728,469 is 114867480.

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

• LCM of 437, 908, 941, 864
• LCM of 269, 629, 318, 256
• LCM of 220, 430, 812, 972
• LCM of 424, 425, 870, 335
• LCM of 298, 958, 247, 731

1. What is the LCM of 201, 785, 728, 469?

Answer: LCM of 201, 785, 728, 469 is 114867480.

2. How to calculate the LCM of 201, 785, 728, 469?

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 201, 785, 728, 469.

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}.