Given numbers are 402,990,478,180

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

The LCM of 402,990,478,180 is 31705740.

Find LCM of 402,990,478,180 with Prime Factorization

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

2 x 3 x 3 x 5 x 67 x 11 x 239 x 2 = 31705740

Therefore, the lowest common multiple of 402,990,478,180 is 31705740.

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 990 x 478 x 180 = 34242199200

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

478 : 1, 2, 239, 478

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,990,478,180, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

990:2x 3x 3x 5x 11

478:2x 239

180:2x 2x 3x 3x 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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 34242199200/(2x540)

LCM = 34242199200/1080

LCM = 31705740

Thus, we can understand that the LCM of 402,990,478,180 is 31705740.

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

• LCM of 774, 598, 118, 774
• LCM of 257, 474, 712, 988
• LCM of 169, 525, 695, 945
• LCM of 936, 835, 231, 860
• LCM of 945, 333, 382, 661

1. What is the LCM of 402, 990, 478, 180?

Answer: LCM of 402, 990, 478, 180 is 31705740.

2. How to calculate the LCM of 402, 990, 478, 180?

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, 990, 478, 180.

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}.