Given numbers are 189,786,284,402

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

The LCM of 189,786,284,402 is 471114252.

Find LCM of 189,786,284,402 with Prime Factorization

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

2 x 3 x 63 x 131 x 142 x 67 = 471114252

Therefore, the lowest common multiple of 189,786,284,402 is 471114252.

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.

189 x 786 x 284 x 402 = 16960113072

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

786 : 1, 2, 3, 6, 131, 262, 393, 786

284 : 1, 2, 4, 71, 142, 284

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,786,284,402, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

786:2x 3x 131

284:2x 2x 71

402:2x 3x 67

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 3 = 36

Therefore, the value for common factors is 36.

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 = 16960113072/(1x36)

LCM = 16960113072/36

LCM = 471114252

Thus, we can understand that the LCM of 189,786,284,402 is 471114252.

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

• LCM of 770, 511, 786, 960
• LCM of 540, 474, 921, 690
• LCM of 211, 811, 828, 132
• LCM of 130, 155, 760, 846
• LCM of 809, 809, 991, 905

1. What is the LCM of 189, 786, 284, 402?

Answer: LCM of 189, 786, 284, 402 is 471114252.

2. How to calculate the LCM of 189, 786, 284, 402?

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 189, 786, 284, 402.

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}.