Given numbers are 402,143,177,450

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

The LCM of 402,143,177,450 is 254375550.

Find LCM of 402,143,177,450 with Prime Factorization

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

2 x 3 x 67 x 143 x 59 x 75 = 254375550

Therefore, the lowest common multiple of 402,143,177,450 is 254375550.

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.

402 x 143 x 177 x 450 = 4578759900

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.

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

143 : 1, 11, 13, 143

177 : 1, 3, 59, 177

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,143,177,450, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

143:11x 13

177:3x 59

450:2x 3x 3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 4578759900/(1x18)

LCM = 4578759900/18

LCM = 254375550

Thus, we can understand that the LCM of 402,143,177,450 is 254375550.

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

• LCM of 104, 932, 936, 429
• LCM of 978, 339, 300, 336
• LCM of 657, 485, 780, 516
• LCM of 496, 995, 451, 442
• LCM of 193, 475, 935, 316

1. What is the LCM of 402, 143, 177, 450?

Answer: LCM of 402, 143, 177, 450 is 254375550.

2. How to calculate the LCM of 402, 143, 177, 450?

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 402, 143, 177, 450.

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}.